id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
cond-mat/9501005 | Renormalization Group results for lattice surface models | We study the phase diagram of statistical systems of closed and open
interfaces built on a cubic lattice. Interacting closed interfaces can be
written as Ising models, while open surfaces as Z(2) gauge systems. When the
open surfaces reduce to closed interfaces with few defects, also the gauge
model can be written as a... | 1995-01-04 | 2009-10-28 | [
"cond-mat",
"hep-th"
] | Emilio N. M. Cirillo, Giuseppe Gonnella |
cond-mat/9501006 | Rigorous results on a first-order phase transition in antiferromagnetic
spin-1/2 coupled chains | Some rigorous results are presented for a first-order quantum phase
transition between the dimerized state and Haldane-type state (i.e., a state
similar to the ground state of the one-dimensional spin-1 Heisenberg chain) in
the spin-1/2 coupled chains with nearest-neighbour and next-nearest-neighbour
Heisenberg interac... | 1995-01-04 | 2016-08-31 | [
"cond-mat"
] | Y. Xian |
cond-mat/9501003 | Giant Backscattering Peak in Angle-Resolved Andreev Reflection | It is shown analytically and by numerical simulation that the angular
distribution of Andreev reflection by a disordered normal-metal --
superconductor junction has a narrow peak at the angle of incidence. The peak
is higher than the well-known coherent backscattering peak in the normal state,
by a large factor G/G_0 (... | 1995-01-03 | 2007-05-23 | [
"cond-mat"
] | C.W.J. Beenakker, J.A. Melsen, and P.W. Brouwer |
cond-mat/9501002 | Finite--Size Scaling Analysis of Generalized Mean--Field Theories | We investigate families of generalized mean--field theories that can be
formulated using the Peierls--Bogoliubov inequality. For test--Hamiltonians
describing mutually non--interacting subsystems of increasing size, the
thermodynamics of these mean--field type systems approaches that of the
infinite, fully interacting ... | 1995-01-03 | 2016-08-31 | [
"cond-mat"
] | Steffen D.~Frischat and Reimer K\"uhn |
cond-mat/9501001 | Self-Consistent Theory of Normal-to-Superconducting Transition | I study the normal-to-superconducting (NS) transition within the
Ginzburg-Landau (GL) model, taking into account the fluctuations in the
$m$-component complex order parameter $\psi\a$ and the vector potential $\vec
A$ in the arbitrary dimension $d$, for any $m$. I find that the transition is
of second-order and that th... | 1995-01-03 | 2009-10-28 | [
"cond-mat"
] | Leo Radzihovsky (University of Chicago) |
cond-mat/9509073 | Paramagnons, weak disorder and positive giant magnetoresistance | At low temperature and for finite spin scattering in a weakly disordered
metal, for a certain value, predicted from our theory, of the
material-dependent paramagnon interaction, the total conductivity becomes
highly sensitive to the orbital effects of a finite magnetic field. As a
consequence, positive giant magnetores... | 1995-09-13 | 2008-02-03 | [
"cond-mat.dis-nn",
"cond-mat.str-el"
] | George Kastrinakis (University of Illinois at Urbana-Champaign) |
cond-mat/9510156 | Mode-Locking in Quantum-Hall-Effect Point Contacts | We study the effect of an ac drive on the current-voltage (I-V)
characteristics of a tunnel junction between two fractional Quantum Hall fluids
at filling $\nu ^{-1}$ an odd integer. Within the chiral Luttinger liquid model
of edge states, the point contact dynamics is described by a driven damped
quantum mechanical pe... | 1995-10-27 | 2009-10-28 | [
"cond-mat.mes-hall"
] | Hsiu-Hau Lin (UC Santa Barbara), Matthew P. A. Fisher (UCSB, ITP) |
cond-mat/9509037 | Microscopic Derivation of Magnetic Flux Density Profiles, Magnetization
Hysteresis Loops, and Critical Currents in Strongly Pinned Superconductors | We present a microscopic derivation, without electrodynamical assumptions, of
$B(x,y,H(t))$, $M(H(t))$, and $J_c(H(t))$, in agreement with experiments on
strongly pinned superconductors, for a range of values of the density and
strength of the pinning sites. We numerically solve the overdamped equations of
motion % dyn... | 1995-09-07 | 2009-10-28 | [
"cond-mat.mtrl-sci",
"cond-mat.supr-con",
"supr-con"
] | C. Reichhardt, C. J. Olson, J. Groth, Stuart Field, and Franco Nori |
cond-mat/9512157 | Structure Function of Polymer Nematic Liquid Crystals: A Monte Carlo
Simulation | We present a Monte Carlo simulation of a polymer nematic for varying volume
fractions, concentrating on the structure function of the sample. We achieve
nematic ordering with stiff polymers made of spherical monomers that would
otherwise not form a nematic state. Our results are in good qualitative
agreement with theor... | 1995-12-22 | 2009-10-28 | [
"cond-mat.soft"
] | Randall D. Kamien and Gary S. Grest |
cond-mat/9512111 | Nature of Driving Force for Protein Folding -- A Result From Analyzing
the Statistical Potential | In a statistical approach to protein structure analysis, Miyazawa and
Jernigan (MJ) derived a $20\times 20$ matrix of inter-residue contact energies
between different types of amino acids. Using the method of eigenvalue
decomposition, we find that the MJ matrix can be accurately reconstructed from
its first two princip... | 1995-12-14 | 2009-10-28 | [
"cond-mat.stat-mech",
"physics.bio-ph",
"q-bio.BM"
] | Hao Li, Chao Tang, and Ned Wingreen (NEC Research Institute) |
cond-mat/9510146 | Breakdown of Landau-Ginzburg-Wilson theory for certain quantum phase
transitions | The quantum ferromagnetic transition of itinerant electrons is considered. It
is shown that the Landau-Ginzburg-Wilson theory described by Hertz and others
breaks down due to a singular coupling between fluctuations of the conserved
order parameter. This coupling induces an effective long-range interaction
between the ... | 1995-10-25 | 2009-10-28 | [
"cond-mat.stat-mech"
] | T. Vojta, D. Belitz, R. Narayanan, and T.R. Kirkpatrick |
cond-mat/9509063 | Ferromagnetism in Hubbard Models | We present the first rigorous examples of non-singular Hubbard models which
exhibit ferromagnetism at zero temperature. The models are defined in arbitrary
dimensions, and are characterized by finite-ranged hoppings, dispersive bands,
and finite on-site Coulomb interaction U. The picture, which goes back to
Heisenberg,... | 1995-09-12 | 2009-10-28 | [
"cond-mat.stat-mech"
] | Hal Tasaki |
cond-mat/9509069 | Long-range order versus random-singlet phases in quantum
antiferromagnetic systems with quenched disorder | The stability of antiferromagnetic long-range order against quenched disorder
is considered. A simple model of an antiferromagnet with a spatially varying
Neel temperature is shown to possess a nontrivial fixed point corresponding to
long-range order that is stable unless either the order parameter or the
spatial dimen... | 1995-09-12 | 2009-10-28 | [
"cond-mat.stat-mech"
] | T.R. Kirkpatrick and D. Belitz |
cond-mat/9507003 | Anderson-Mott transition as a quantum glass problem | We combine a recent mapping of the Anderson-Mott metal-insulator transition
on a random-field problem with scaling concepts for random-field magnets to
argue that disordered electrons near an Anderson-Mott transition show
glass-like behavior. We first discuss attempts to interpret experimental
results in terms of a con... | 1995-07-03 | 2009-10-28 | [
"cond-mat.stat-mech",
"cond-mat.str-el"
] | D. Belitz and T.R. Kirkpatrick |
cond-mat/9504021 | Quantum ferromagnetic transition in disordered itinerant electron
systems | An effective field theory is derived for the ferromagnetic transition of
diffusive electrons at T=0. The static disorder which leads to diffusive
electron dynamics induces an effective long-range interaction between the spins
of the form 1/r^(2d-2). This leads to unusual scaling behavior at the quantum
critical point, ... | 1995-04-05 | 2016-08-31 | [
"cond-mat.stat-mech",
"cond-mat.str-el"
] | D. Belitz and T.R. Kirkpatrick |
cond-mat/9501059 | Anisotropic Scaling in Layered Aperiodic Ising Systems | The influence of a layered aperiodic modulation of the couplings on the
critical behaviour of the two-dimensional Ising model is studied in the case of
marginal perturbations. The aperiodicity is found to induce anisotropic
scaling. The anisotropy exponent z, given by the sum of the surface
magnetization scaling dimens... | 1995-01-14 | 2009-10-28 | [
"cond-mat.stat-mech"
] | B. Berche (1), P.E. Berche (1), M. Henkel (2), F. Igloi (3,4), P.
Lajko (4), S. Morgan (2), L. Turban (1) ((1) Henri Poincare University,
Nancy, (2) Oxford University, (3) Research Institute for Solid State Physics,
Budapest, (4) University of Szeged) |
cond-mat/9512169 | The Hubbard Model: Introduction and Selected Rigorous Results | The Hubbard model is a "highly oversimplified model" for electrons in a solid
which interact with each other through extremely short ranged repulsive
(Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two
pieces; H_hop which describes quantum mechanical hopping of electrons, and Hint
which describe... | 1995-12-26 | 2008-02-03 | [
"cond-mat.str-el"
] | Hal Tasaki |
cond-mat/9508094 | Magnetic pair breaking in disordered superconducting films | A theory for the effects of nonmagnetic disorder on the magnetic pair
breaking rate $\alpha$ induced by paramagnetic impurities in quasi
two-dimensional superconductors is presented. Within the framework of a
strong-coupling theory for disordered superconductors, we find that the
disorder dependence of $\alpha$ is dete... | 1995-08-22 | 2009-10-28 | [
"cond-mat.supr-con",
"supr-con"
] | T.P. Devereaux and D. Belitz |
cond-mat/9508027 | Optical phonons along the c axis of YBa_2Cu_3O_{6+x}, for x=0.5 -> 0.95 | The c-axis polarized phonon spectra of single crystals of YBCO_{6+x} have
been measured for the doping range x=0.5 -> 0.95, between 10 K and 300 K. The
low background electronic conductivity, determined by Kramers-Kronig analysis
of the reflectance, leads to a rich phonon structure. With decreased doping the
five norma... | 1995-08-08 | 2011-02-07 | [
"cond-mat.supr-con",
"supr-con"
] | C.C. Homes, T. Timusk, D.A. Bonn, R. Liang and W.N. Hardy |
cond-mat/9505012 | Magnetic Raman Scattering in Two-Dimensional Spin-1/2 Heisenberg
Antiferromagnets: Spectral Shape Anomaly and Magnetostrictive Effects | We calculate the Raman spectrum of the two-dimensional (2D) spin-1/2
Heisenberg antiferromagnet by exact diagonalization and quantum Monte Carlo
techniques on clusters of up to 144 sites and, on a 16-site cluster, by
considering the phonon-magnon interaction which leads to random fluctuations of
the exchange integral. ... | 1995-05-03 | 2016-08-31 | [
"cond-mat.supr-con",
"cond-mat.mtrl-sci"
] | Franco Nori, Roberto Merlin, Stephan Haas, Anders Sandvik, and Elbio
Dagotto (The University of Michigan, Ann Arbor, and National High Magnetic
Field Lab, Florida State University) |
cs/9512104 | Decision-Theoretic Foundations for Causal Reasoning | We present a definition of cause and effect in terms of decision-theoretic
primitives and thereby provide a principled foundation for causal reasoning.
Our definition departs from the traditional view of causation in that causal
assertions may vary with the set of decisions available. We argue that this
approach provid... | 1995-12-01 | 2014-11-17 | [
"cs.AI"
] | D. Heckerman, R. Shachter |
cs/9512105 | Translating between Horn Representations and their Characteristic Models | Characteristic models are an alternative, model based, representation for
Horn expressions. It has been shown that these two representations are
incomparable and each has its advantages over the other. It is therefore
natural to ask what is the cost of translating, back and forth, between these
representations. Interes... | 1995-12-01 | 2014-11-17 | [
"cs.AI"
] | R. Khardon |
cs/9512107 | Rule-based Machine Learning Methods for Functional Prediction | We describe a machine learning method for predicting the value of a
real-valued function, given the values of multiple input variables. The method
induces solutions from samples in the form of ordered disjunctive normal form
(DNF) decision rules. A central objective of the method and representation is
the induction of ... | 1995-12-01 | 2014-11-17 | [
"cs.AI"
] | S. M. Weiss, N. Indurkhya |
cs/9512102 | Vision-Based Road Detection in Automotive Systems: A Real-Time
Expectation-Driven Approach | The main aim of this work is the development of a vision-based road detection
system fast enough to cope with the difficult real-time constraints imposed by
moving vehicle applications. The hardware platform, a special-purpose massively
parallel system, has been chosen to minimize system production and operational
cost... | 1995-12-01 | 2009-09-25 | [
"cs.AI"
] | A. Broggi, S. Berte |
cs/9512106 | Statistical Feature Combination for the Evaluation of Game Positions | This article describes an application of three well-known statistical methods
in the field of game-tree search: using a large number of classified Othello
positions, feature weights for evaluation functions with a
game-phase-independent meaning are estimated by means of logistic regression,
Fisher's linear discriminant... | 1995-12-01 | 2014-11-17 | [
"cs.AI"
] | M. Buro |
cs/9512101 | OPUS: An Efficient Admissible Algorithm for Unordered Search | OPUS is a branch and bound search algorithm that enables efficient admissible
search through spaces for which the order of search operator application is not
significant. The algorithm's search efficiency is demonstrated with respect to
very large machine learning search spaces. The use of admissible search is of
poten... | 1995-12-01 | 2014-11-17 | [
"cs.AI"
] | G. I. Webb |
cs/9512103 | Generalization of Clauses under Implication | In the area of inductive learning, generalization is a main operation, and
the usual definition of induction is based on logical implication. Recently
there has been a rising interest in clausal representation of knowledge in
machine learning. Almost all inductive learning systems that perform
generalization of clauses... | 1995-12-01 | 2014-11-17 | [
"cs.AI"
] | P. Idestam-Almquist |
cs/9511101 | Flexibly Instructable Agents | This paper presents an approach to learning from situated, interactive
tutorial instruction within an ongoing agent. Tutorial instruction is a
flexible (and thus powerful) paradigm for teaching tasks because it allows an
instructor to communicate whatever types of knowledge an agent might need in
whatever situations mi... | 1995-11-01 | 2014-11-17 | [
"cs.AI"
] | S. B. Huffman, J. E. Laird |
cs/9510101 | Diffusion of Context and Credit Information in Markovian Models | This paper studies the problem of ergodicity of transition probability
matrices in Markovian models, such as hidden Markov models (HMMs), and how it
makes very difficult the task of learning to represent long-term context for
sequential data. This phenomenon hurts the forward propagation of long-term
context informatio... | 1995-10-01 | 2014-11-17 | [
"cs.AI"
] | Y. Bengio, P. Frasconi |
cs/9510103 | Learning Membership Functions in a Function-Based Object Recognition
System | Functionality-based recognition systems recognize objects at the category
level by reasoning about how well the objects support the expected function.
Such systems naturally associate a ``measure of goodness'' or ``membership
value'' with a recognized object. This measure of goodness is the result of
combining individu... | 1995-10-01 | 2009-09-25 | [
"cs.AI"
] | K. Woods, D. Cook, L. Hall, K. Bowyer, L. Stark |
cs/9510102 | Improving Connectionist Energy Minimization | Symmetric networks designed for energy minimization such as Boltzman machines
and Hopfield nets are frequently investigated for use in optimization,
constraint satisfaction and approximation of NP-hard problems. Nevertheless,
finding a global solution (i.e., a global minimum for the energy function) is
not guaranteed a... | 1995-10-01 | 2014-11-17 | [
"cs.AI"
] | G. Pinkas, R. Dechter |
cs/9508101 | Using Qualitative Hypotheses to Identify Inaccurate Data | Identifying inaccurate data has long been regarded as a significant and
difficult problem in AI. In this paper, we present a new method for identifying
inaccurate data on the basis of qualitative correlations among related data.
First, we introduce the definitions of related data and qualitative
correlations among rela... | 1995-08-01 | 2014-11-17 | [
"cs.AI"
] | Q. Zhao, T. Nishida |
cs/9508102 | An Integrated Framework for Learning and Reasoning | Learning and reasoning are both aspects of what is considered to be
intelligence. Their studies within AI have been separated historically,
learning being the topic of machine learning and neural networks, and reasoning
falling under classical (or symbolic) AI. However, learning and reasoning are
in many ways interdepe... | 1995-08-01 | 2009-09-25 | [
"cs.AI"
] | C. G. Giraud-Carrier, T. R. Martinez |
cs/9507101 | Building and Refining Abstract Planning Cases by Change of
Representation Language | ion is one of the most promising approaches to improve the performance of
problem solvers. In several domains abstraction by dropping sentences of a
domain description -- as used in most hierarchical planners -- has proven
useful. In this paper we present examples which illustrate significant
drawbacks of abstraction b... | 1995-07-01 | 2009-09-25 | [
"cs.AI"
] | R. Bergmann, W. Wilke |
cs/9506101 | FLECS: Planning with a Flexible Commitment Strategy | There has been evidence that least-commitment planners can efficiently handle
planning problems that involve difficult goal interactions. This evidence has
led to the common belief that delayed-commitment is the "best" possible
planning strategy. However, we recently found evidence that eager-commitment
planners can ha... | 1995-06-01 | 2009-09-25 | [
"cs.AI"
] | M. Veloso, P. Stone |
cs/9506102 | Induction of First-Order Decision Lists: Results on Learning the Past
Tense of English Verbs | This paper presents a method for inducing logic programs from examples that
learns a new class of concepts called first-order decision lists, defined as
ordered lists of clauses each ending in a cut. The method, called FOIDL, is
based on FOIL (Quinlan, 1990) but employs intensional background knowledge and
avoids the n... | 1995-06-01 | 2008-02-03 | [
"cs.AI"
] | R. J. Mooney, M. E. Califf |
cs/9505104 | Pac-Learning Recursive Logic Programs: Efficient Algorithms | We present algorithms that learn certain classes of function-free recursive
logic programs in polynomial time from equivalence queries. In particular, we
show that a single k-ary recursive constant-depth determinate clause is
learnable. Two-clause programs consisting of one learnable recursive clause and
one constant-d... | 1995-05-01 | 2014-11-17 | [
"cs.AI"
] | W. W. Cohen |
cs/9505105 | Pac-learning Recursive Logic Programs: Negative Results | In a companion paper it was shown that the class of constant-depth
determinate k-ary recursive clauses is efficiently learnable. In this paper we
present negative results showing that any natural generalization of this class
is hard to learn in Valiant's model of pac-learnability. In particular, we show
that the follow... | 1995-05-01 | 2014-11-17 | [
"cs.AI"
] | W. W. Cohen |
cs/9505103 | Provably Bounded-Optimal Agents | Since its inception, artificial intelligence has relied upon a theoretical
foundation centered around perfect rationality as the desired property of
intelligent systems. We argue, as others have done, that this foundation is
inadequate because it imposes fundamentally unsatisfiable requirements. As a
result, there has ... | 1995-05-01 | 2014-11-17 | [
"cs.AI"
] | S. J. Russell, D. Subramanian |
cs/9505102 | Adaptive Load Balancing: A Study in Multi-Agent Learning | We study the process of multi-agent reinforcement learning in the context of
load balancing in a distributed system, without use of either central
coordination or explicit communication. We first define a precise framework in
which to study adaptive load balancing, important features of which are its
stochastic nature ... | 1995-05-01 | 2014-11-17 | [
"cs.AI"
] | A. Schaerf, Y. Shoham, M. Tennenholtz |
cs/9505101 | Using Pivot Consistency to Decompose and Solve Functional CSPs | Many studies have been carried out in order to increase the search efficiency
of constraint satisfaction problems; among them, some make use of structural
properties of the constraint network; others take into account semantic
properties of the constraints, generally assuming that all the constraints
possess the given ... | 1995-05-01 | 2014-11-17 | [
"cs.AI"
] | P. David |
cs/9504101 | Rerepresenting and Restructuring Domain Theories: A Constructive
Induction Approach | Theory revision integrates inductive learning and background knowledge by
combining training examples with a coarse domain theory to produce a more
accurate theory. There are two challenges that theory revision and other
theory-guided systems face. First, a representation language appropriate for
the initial theory may... | 1995-04-01 | 2008-02-03 | [
"cs.AI"
] | S. K. Donoho, L. A. Rendell |
cs/9503101 | On the Informativeness of the DNA Promoter Sequences Domain Theory | The DNA promoter sequences domain theory and database have become popular for
testing systems that integrate empirical and analytical learning. This note
reports a simple change and reinterpretation of the domain theory in terms of
M-of-N concepts, involving no learning, that results in an accuracy of 93.4% on
the 106 ... | 1995-03-01 | 2014-11-17 | [
"cs.AI",
"q-bio"
] | J. Ortega |
cs/9503102 | Cost-Sensitive Classification: Empirical Evaluation of a Hybrid Genetic
Decision Tree Induction Algorithm | This paper introduces ICET, a new algorithm for cost-sensitive
classification. ICET uses a genetic algorithm to evolve a population of biases
for a decision tree induction algorithm. The fitness function of the genetic
algorithm is the average cost of classification when using the decision tree,
including both the cost... | 1995-03-01 | 2009-09-25 | [
"cs.AI"
] | P. D. Turney |
cs/9501101 | Solving Multiclass Learning Problems via Error-Correcting Output Codes | Multiclass learning problems involve finding a definition for an unknown
function f(x) whose range is a discrete set containing k > 2 values (i.e., k
``classes''). The definition is acquired by studying collections of training
examples of the form [x_i, f (x_i)]. Existing approaches to multiclass learning
problems in... | 1995-01-01 | 2014-11-17 | [
"cs.AI"
] | T. G. Dietterich, G. Bakiri |
cs/9501102 | A Domain-Independent Algorithm for Plan Adaptation | The paradigms of transformational planning, case-based planning, and plan
debugging all involve a process known as plan adaptation - modifying or
repairing an old plan so it solves a new problem. In this paper we provide a
domain-independent algorithm for plan adaptation, demonstrate that it is sound,
complete, and sys... | 1995-01-01 | 2014-11-17 | [
"cs.AI"
] | S. Hanks, D. S. Weld |
cs/9501103 | Truncating Temporal Differences: On the Efficient Implementation of
TD(lambda) for Reinforcement Learning | Temporal difference (TD) methods constitute a class of methods for learning
predictions in multi-step prediction problems, parameterized by a recency
factor lambda. Currently the most important application of these methods is to
temporal credit assignment in reinforcement learning. Well known reinforcement
learning alg... | 1995-01-01 | 2008-02-03 | [
"cs.AI"
] | P. Cichosz |
dg-ga/9512012 | Regularisable and minimal orbits for group actions in infinite
dimensions | We introduce a class of regularisable infinite dimensional principal fibre
bundles which includes fibre bundles arising in gauge field theories like
Yang-Mills and string theory and which generalise finite dimensional Riemannian
principal fibre bundles induced by an isometric action. We show that the orbits
of regulari... | 1995-12-22 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | M.Arnaudon and S.Paycha (Institut de Recherche de Mathematique
Avancee, Universite Louis Pasteur et CNRS, Strasbourg, France) |
dg-ga/9512011 | $L^2$-Cohomology of Geometrically Infinite Hyperbolic 3-Manifolds | We give results on the following questions about a topologically tame
hyperbolic 3-manifold M :
1. Does M have nonzero square-integrable harmonic 1-forms?
2. Does zero lie in the spectrum of the Laplacian acting on (1-forms on
M)/Ker(d)? | 1995-12-21 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | John Lott |
dg-ga/9512010 | Weierstrass representations for harmonic morphisms on Euclidean spaces
and spheres | We construct large families of harmonic morphisms which are holomorphic with
respect to Hermitian structures by finding heierarchies of Weierstrass-type
representations. This enables us to find new examples of complex-valued
harmonic morphisms from Euclidean spaces and spheres. | 1995-12-20 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | P. Baird (Brest), J.C. Wood (Leeds) |
dg-ga/9512009 | A closed form for unitons | Unitons, i.e.\ harmonic spheres in a unitary group, correspond to \lq uniton
bundles\rq, i.e.\ holomorphic bundles over the compactified tangent space to
the complex line with certain triviality and other properties. In this paper,
we use a monad representation similar to Donaldson's representation of
instanton bundles... | 1995-12-19 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Christopher Kumar Anand |
dg-ga/9512008 | Harmonic morphisms between almost Hermitian manifolds | We obtain conditions on the Lee form under which a holomorphic map between
almost Hermitian manifolds is a harmonic map or morphism. Then we discuss under
what conditions (i) the image of a holomorphic map from a cosymplectic manifold
is also cosymplectic, (ii) a holomophic map with Hermitian image defines a
Hermitian ... | 1995-12-18 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | S. Gudmundsson (Lund) and J.C. Wood (Leeds) |
dg-ga/9512007 | Exotic deformation quantization | We consider formal deformations of the Poisson algebra of functions (with
singularities) on $T^*M$ which are Laurent polynomials of fibers. Tn the case:
$\dim M=1$ ($M=S^1, {\bf R}$), there exists a non-trivial $\star$-product on
this algebra non-equivalent to the standard Moyal product. | 1995-12-14 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | V. Ovsienko (CNRS, Luminy--Marseille FRANCE) |
dg-ga/9512006 | Energy of embedded surfaces invariant under Moebius tranformations,
addendum | In a previous preprint we defined an energy associated to every embedding of
a surface into $R^n$ or $S^n$. This energy is invariant under Moebius
tranformations and the "round" sphere is its only absolute minimum. Here we
sketch a proof of the compactness property for a variant of it. The details
will appear elsewhere... | 1995-12-13 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Stefano Demichelis |
dg-ga/9512005 | Quotients by complex conjugation for real complete intersection surfaces | Quotients $Y=X/conj$ by the complex conjugation $conj\: X\to X$ for complex
surfaces $X$ defined over $\R$ tend to be completely decomposable when they are
simply connected, i.e., split into connected sums $\#_n CP^2\#_m\barCP^2$ if
$w_2(Y)\ne0$, or into $\#_n(S^2\times S^2)$ if $w_2(Y)=0$. The author proves
this prope... | 1995-12-11 | 2008-02-03 | [
"dg-ga",
"alg-geom",
"math.AG",
"math.DG"
] | S. Finashin |
dg-ga/9512004 | The Space of Harmonic Maps from the 2-sphere to the Complex Projective
Plane | We study the topology of the space of harmonic maps from $S^2$ to \CP 2$. We
prove that the subspaces consisting of maps of a fixed degree and energy are
path connected. By a result of Guest and Ohnita it follows that the same is
true for the space of harmonic maps to $\CP n$ for $n\geq 2$. We show that the
components ... | 1995-12-05 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | T. Arleigh Crawford (Fields Institute) |
dg-ga/9512003 | The Spinor Representation of Minimal Surfaces | The spinor representation is developed and used to investigate minimal
surfaces in ${\bfR}^3$ with embedded planar ends. The moduli spaces of
planar-ended minimal spheres and real projective planes are determined, and new
families of minimal tori and Klein bottles are given. These surfaces compactify
in $S^3$ to yield ... | 1995-12-04 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Rob Kusner (Mathematics, University of Massachusetts at Amherst) and
Nick Schmitt (GANG, University of Massachusetts at Amherst) |
dg-ga/9511018 | Connected sum constructions for constant scalar curvature metrics | We give a general procedure for gluing together possibly noncompact manifolds
of constant scalar curvature which satisfy an extra nondegeneracy hypothesis.
Our aim is to provide a simple paradigm for making `analytic' connected sums.
In particular, we can easily construct complete metrics of constant positive
scalar cu... | 1995-12-01 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Rafe Mazzeo (Stanford University), Daniel Pollack (University of
Chicago) and Karen Uhlenbeck (University of Texas at Austin) |
dg-ga/9512002 | A Lefschetz formula for flows | For the geodesic flow of an odd dimensional hyperbolic manifold we prove a
Lefschetz type formula. The local terms are Fuller indices of the closed
orbits. The global "Frobenius operator" is the generator of the flow and its
action on tangential cohomology. | 1995-12-01 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Anton Deitmar |
dg-ga/9512001 | On the index of Dirac operators on arithmetic quotients | Using the Arthur-Selberg trace formula we express the index of a Dirac
operator on an arithmetic quotient over a totally real field with at least two
real embeddings as the integral over the index form plus a sum of orbital
integrals. For the Euler operator these orbital integrals are shown to vanish
for products of ra... | 1995-12-01 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Anton Deitmar |
dg-ga/9511017 | A remark on positively curved manifolds of dimensions 7 and 13 | Totally geodesically embeddings of infinitely many closed 7-manifolds into
13-dimensional positively curved closed Riemannian manifolds are constructed.
The problems of computing pinching constants and existence of other totally
geodesical embeddings are discussed. | 1995-11-30 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | I.A. Taimanov |
dg-ga/9511016 | Periodic orbits in magnetic fields and Ricci curvature of Lagrangian
systems | We consider a periodic problem for the motion of a charged particle in a
magnetic field. Introducing a notion of Ricci curvature for such Lagrangian
systems and using the methods of the calculus of variations in the large, we
prove the existence of periodic motions for such particles under a condition of
positivity of ... | 1995-11-30 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | A. Bahri, I.A. Taimanov |
dg-ga/9511015 | 4-Manifolds without Einstein Metrics | It is shown that there are infinitely many compact orientable smooth
4-manifolds which do not admit Einstein metrics, but nevertheless satisfy the
strict Hitchin-Thorpe inequality 2 chi > 3 |tau|. The examples in question
arise as non-minimal complex algebraic surfaces of general type, and the method
of proof stems fro... | 1995-11-27 | 2008-02-03 | [
"dg-ga",
"alg-geom",
"math.AG",
"math.DG"
] | Claude LeBrun |
dg-ga/9511014 | The First Eigenvalue of $P$-manifolds | Antonio Ros gave a lower bound for the first eigenvalue $\lambda_1$ of
$\Delta$ of a $P$-manifold $(M, g)$ in terms of the lower bound on the Ricci
curvature $Ric_M$ and asked what happened when this lower bound was achieved.
In this paper we look in to this question and show that there are strong
implications on the g... | 1995-11-24 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Akhil Ranjan and G. Santhanam |
dg-ga/9511013 | Donaldson invariants for some glued manifolds | We prove that every suitable $4$-manifold with $b_1=0$ and with an embedded
Riemann surface of genus $2$ is of simple type. We find a relationship between
the basic classes of two of these $4$-manifolds and those of the connected sum
along the Riemann surface. | 1995-11-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Vicente Mu\~noz (Oxford University) |
dg-ga/9511009 | Regularized and $L^2$-Determinants | It is shown that in a tower of coverings the regularized determinant of a
generalized Laplacian converges to the $L^2$-determinant. This shows generic
nontriviality of analytic torsion or regularized determinants since the
$L^2$-counterparts are easier to compute. We further have an "Euler product
expansion" for regula... | 1995-11-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Anton Deitmar |
dg-ga/9511010 | A Generalisation of Obata's theorem | In a complete Riemannian manifold $(M, g)$ if the hessian of a real valued
function satisfies some suitable conditions then it restricts the geometry of
$(M, g)$. In this paper we characterize all compact rank-1 symmetric spaces, as
those Riemannian manifolds $(M, g)$ admitting a real valued function $u$ such
that the ... | 1995-11-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Akhil Ranjan and G. Santhanam |
dg-ga/9511011 | $\pi_1$ of symplectic automorphism groups and invertibles in quantum
homology rings | We define a homomorphism from (a certain extension of) the fundamental group
of the Hamiltonian automorphism group of a symplectic manifold to the group of
invertibles in its quantum cohomology ring. The manifold must satify a
technical condition similar to weak monotonicity.
This revised version has been entirely re... | 1995-11-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Paul Seidel |
dg-ga/9511012 | Constraints for Seiberg-Witten basic classes of glued manifolds | We use rudiments of the Seiberg-Witten gluing theory for trivial circle
bundles over a Riemann surface to relate de Seiberg-Witten basic classes of two
$4$-manifolds containing Riemann surfaces of the same genus and
self-intersection zero with those of the $4$-manifold resulting as a connected
sum along the surface. We... | 1995-11-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Vicente Mu\~noz (Oxford University) |
dg-ga/9511008 | Hamiltonian torus actions on symplectic orbifolds and toric varieties | In the first part of the paper, we build a foundation for further work on
Hamiltonian actions on symplectic orbifolds. Most importantly we prove the
orbifold versions of the abelian connectedness and convexity theorems.
In the second half, we prove that compact symplectic orbifolds with
completely integrable torus ac... | 1995-11-18 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Eugene Lerman (MIT, presently Univ. of Illinois at Urban-Champaign)
and Susan Tolman (MIT) |
dg-ga/9511007 | Examples of non-Kaehler Hamiltonian torus actions | An important question with a rich history is the extent to which the
symplectic category is larger than the Kaehler category. Many interesting
examples of non-Kaehler symplectic manifolds have been constructed. However,
sufficiently large symmetries can force a symplectic manifold to be Kaehler. In
this paper, we solve... | 1995-11-16 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Susan Tolman (MIT) |
dg-ga/9511006 | Geometric zeta-functions of locally symmetric spaces | The theory of geometric zeta functions for locally symmetric spaces as
initialized by Selberg and continued by numerous mathematicians is generalized
to the case of higher rank spaces. We show analytic continuation, describe the
divisor in terms of tangential cohomology and in terms of group cohomology
which generalize... | 1995-11-10 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Anton Deitmar |
dg-ga/9511005 | Modified Novikov--Veselov equation and differential geometry of surfaces | Global deformations of surfaces, immersed into the Euclidean 3-space, by
using the modified Novikov--Veselov equation are investigated. relation to the
theory of the Willmore functional is discussed | 1995-11-07 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | I.A. Taimanov |
dg-ga/9511004 | On one family of 13-dimensional closed Riemannian positively curved
manifolds | An infinite family of pairwise nonhomeomorphic 13-dimensional positively
curved manifolds is constructed | 1995-11-07 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Ya.V. Bazaikin |
dg-ga/9511003 | Complete lifts of harmonic maps and morphisms between Euclidean spaces | We introduce the complete lifts of maps between (real and complex) Euclidean
spaces and study their properties concerning holomorphicity, harmonicity and
horizontal weakly conformality. As applications, we are able to use this
concept to characterize holomorphic maps $\phi:{\Bbb C}^{m}\supset
U\longrightarrow {\Bbb C}^... | 1995-11-07 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Ye-lin Ou (University of Leeds, U.K.) |
dg-ga/9511002 | On the classification of quadratic harmonic morphisms between Euclidean
spaces | We give a classification of quadratic harmonic morphisms between Euclidean
spaces (Theorem 2.4) after proving a Rank Lemma. We also find a correspondence
between umbilical (Definition 2.7) quadratic harmonic morphisms and Clifford
systems. In the case $ {\Bbb R}^{4}\longrightarrow {\Bbb R}^{3} $, we determine
all quadr... | 1995-11-03 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Ye-lin Ou (University of Leeds, U.K.), J.C. Wood (University of Leeds,
U.K.) |
dg-ga/9511001 | Quadratic harmonic morphisms and O-systems | We introduce O-systems (Definition \ref{DO}) of orthogonal transformations of
${\Bbb R}^{m}$, and establish $1-1$ correspondences both between equivalence
classes of Clifford systems and that of O-systems, and between O-systems and
orthogonal multiplications of the form $\mu :{\Bbb R}^{n} \times {\Bbb R}^{m}
\longright... | 1995-11-03 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Ye-lin Ou (University of Leeds, U.K.) |
dg-ga/9510010 | Torsions for manifolds with boundary and glueing formulas | We extend the definition of analytic and Reidemeister torsion from closed
compact Riemannian manifolds to compact Riemannian manifolds with boundary $(M,
\partial M)$, given a flat bundle $\Cal F$ of $\Cal A$-Hilbert modules of
finite type and a decomposition of the boundary $\partial M =\partial_- M \cup
\partial_+ M$... | 1995-10-31 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | D.Burghelea (Ohio State University),L.Friedlander (University of
Arizona), T.Kappeler (Ohio State University) |
dg-ga/9510009 | Substantial Riemannian Submersions of S(15) with 7- dimensional fibres | In this paper we show that a substantial Riemannian submersion of S(15) with
7- dimensional fibres is congruent to the standard Hopf fibration. As a
consequence we prove a slightly weak form of of the Diameter Rigidity theorem
for the Cayley plane which is considerably stronger than the very recent Radius
Rigidity Theo... | 1995-10-31 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Akhil Ranjan (Dept of Mathematics, I.I.T. Bombay, India) |
dg-ga/9510007 | Sturm theory, Ghys theorem on zeroes of the Schwarzian derivative and
flattening of Legendrian curves | We discuss Ghys' theorem on 4 zeroes of the Schwarzian derivative and its
relation with flattening points of Legendrian curves and Sturm theory. | 1995-10-26 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | V. Ovsienko (CNRS, Luminy--Marseille FRANCE), S. Tabachnikov
(University of Arkansas Fayetteville, USA and MPI Bonn, Germany) |
dg-ga/9510008 | Theorem on six vertices of a plane curve via the Sturm theory | We discuss the theorem on the existence of six points on a convex closed
plane curve in which the curve has a contact of order six with the osculating
conic. (This is the ``projective version'' of the well known four vertices
theorem for a curve in the Euclidean plane.) We obtain this classical fact as a
corollary of s... | 1995-10-26 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | L. Guieu, E. Mourre, V.Yu. Ovsienko (CNRS, Luminy -- Marseille,
FRANCE) |
dg-ga/9510006 | Group systems, groupoids, and moduli spaces of parabolic bundles | Let $G$ be a Lie group, with an invariant non-degenerate symmetric bilinear
form on its Lie algebra, let $\pi$ be the fundamental group of an orientable
(real) surface $M$ with a finite number of punctures, and let $\bold C$ be a
family of conjugacy classes in $G$, one for each puncture. A finite-dimensional
constructi... | 1995-10-23 | 2008-02-03 | [
"dg-ga",
"math.DG",
"math.SG"
] | K. Guruprasad, J. Huebschmann, L. Jeffrey, and A. Weinstein |
dg-ga/9510005 | The Geometric Phase in the Three-Body Problem | Suppose that the initial triangle formed by the three moving masses of the
three-body problem is similar to the triangle formed at some later time. We
derive a simple integral formula for the overall rotation relating the two
triangles. The formula is based on the fact that the space of similarity
classes of triangles ... | 1995-10-16 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Richard Montgomery (Mathematics Dept, Univ. of Calif., Santa Cruz) |
dg-ga/9510004 | Periodic Hamiltonian flows on four dimensional manifolds | We classify the periodic Hamiltonian flows on compact four dimensional
symplectic manifolds up to isomorphism of Hamiltonian S^1 spaces. Additionally,
we show that all these spaces are Kaehler, that every such space is obtained
from a simple model by a sequence of symplectic blowups, and that if the fixed
points are is... | 1995-10-13 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Yael Karshon |
dg-ga/9510002 | Compact null hypersurfaces and collapsing Riemannian manifolds | Restrictions are obtained on the topology of a compact divergence-free null
hypersurface in a four-dimensional Lorentzian manifold whose Ricci tensor is
zero or satisfies some weaker conditions. This is done by showing that each
null hypersurface of this type can be used to construct a family of
three-dimensional Riema... | 1995-10-06 | 2008-02-03 | [
"dg-ga",
"gr-qc",
"math.DG"
] | Alan D. Rendall |
dg-ga/9510003 | On the space of harmonic $2$-spheres in ${\bf C}P^2$ | Carrying further work of T.A. Crawford, we show that each component of the
space of harmonic maps from the $2$-sphere to complex projective $2$-space of
degree $d$ and energy $4 \pi E$ is a smooth closed submanifold of the space of
all $C^j$ maps $(j \geq 2)$. We achieve this by showing that the Gauss
transform which r... | 1995-10-06 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | L. Lemaire (Univ. Libre Bruxelles), J.C. Wood (Univ. Leeds, G.B) |
dg-ga/9510001 | The Marked Length Spectrum vs. The Laplace Spectrum on Forms on
Riemannian Nilmanifolds | The subject of this paper is the relationship among the marked length
spectrum, the length spectrum, the Laplace spectrum on functions, and the
Laplace spectrum on forms on Riemannian nilmanifolds. In particular, we show
that for a large class of three-step nilmanifolds, if a pair of nilmanifolds in
this class has the ... | 1995-10-05 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Ruth Gornet (Texas Tech Univ; Lubbock, TX) |
dg-ga/9509005 | Notes on Seiberg-Witten Gauge Theory | These notes provide an introductory exposition of the Seiberg-Witten gauge
theory. They collect the material presented in a series of seminars given by
the author at the University of Milano. | 1995-09-20 | 2008-02-03 | [
"dg-ga",
"hep-th",
"math.DG"
] | M. Marcolli |
dg-ga/9509004 | On a class of K\"ahler manifolds whose geodesic flows are integrable | We study $n$-dimensional K\"ahler manifolds whose geodesic flows possess $n$
first integrals in involution that are fibrewise hermitian forms and
simultaneously normalizable. Under some mild assumption, one can associate with
such a manifold an $n$-dimensional commutative Lie algebra of infinitesimal
automorphisms. Thi... | 1995-09-20 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Kazuyoshi Kiyohara |
dg-ga/9509003 | Harmonic Maps with Prescribed Singularities on Unbounded Domains | The Einstein/Abelian-Yang-Mills Equations reduce in the stationary and
axially symmetric case to a harmonic map with prescribed singularities
$\p\colon\R^3\sm\Sigma\to\H^{k+1}_\C$ into the $(k+1)$-dimensional complex
hyperbolic space. In this paper, we prove the existence and uniqueness of
harmonic maps with prescribed... | 1995-09-19 | 2014-11-17 | [
"dg-ga",
"gr-qc",
"math.DG"
] | Gilbert Weinstein (University of Alabama at Birmingham) |
dg-ga/9509002 | On the Geometry of Complex Grassmann Manifold, Its Noncompact Dual and
Coherent States | Different topics on the differential geometry of the complex Grassmann
manifold are surveyed in relation to the coherent states. A calculation of the
tangent conjugate locus and conjugate locus in the complex Grassmann manifold
is presented. The proofs use the Jordan's stationary angles. Also various
formulas for the d... | 1995-09-08 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Stefan Berceanu |
dg-ga/9509001 | Affine connections on involutive G-structures | This paper is a review of the twistor theory of irreducible G-structures and
affine connections. Long ago, Berger presented a very restricted list of
possible irreducibly acting holonomies of torsion-free affine connections. His
list was complete in the part of metric connections, while the situation with
holonomies of... | 1995-09-06 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Sergey A. Merkulov |
dg-ga/9508014 | On the Incompleteness of Berger's List of Holonomy Representations | In 1955, Berger \cite{Ber} gave a list of irreducible reductive
representations which can occur as the holonomy of a torsion-free affine
connection. This list was stated to be complete up to possibly a finite number
of missing entries. In this paper, we show that there is, in fact, an infinite
family of representations... | 1995-08-30 | 2015-06-25 | [
"dg-ga",
"math.DG"
] | Quo-Shin Chi, Sergey A. Merkulov, Lorenz J. Schwachh\"ofer |
dg-ga/9508013 | Manin Triples for Lie Bialgebroids | In his study of Dirac structures, a notion which includes both Poisson
structures and closed 2-forms, T. Courant introduced a bracket on the direct
sum of vector fields and 1-forms. This bracket does not satisfy the Jacobi
identity except on certain subspaces. In this paper we systematize the
properties of this bracket... | 1995-08-28 | 2008-02-03 | [
"dg-ga",
"math.DG",
"math.SG"
] | Zhang-Ju Liu, Alan Weinstein, and Ping Xu |
dg-ga/9508011 | Uniton Bundles | We show that a twistor construction of Hitchin and Ward can be adapted to
study unitons (harmonic spheres in a unitary group). Specifically, we show that
unitons are equivalent to holomorphic bundles with extra structure over a
rational ruled surface with energy given by Chern class. This equivalence
allows us to confi... | 1995-08-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Christopher Kumar Anand |
dg-ga/9508012 | Controlled Geometry via Smoothing | We prove that Riemannian metrics with a uniform weak norm can be smoothed to
having arbitrarily high regularity. This generalizes all previous smoothing
results. As a consequence we obtain a generalization of Gromov's almost flat
manifold theorem. A uniform Betti number estimate is also obtained. | 1995-08-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Peter Petersen, Guofang Wei and Rugang Ye |
dg-ga/9508010 | Stiefel-Whitney Classes and the Conormal Cycle of a Singular Variety | A geometric construction of Sullivan's Stiefel-Whitney homology classes of a
real analytic variety $X$ is given by means of the conormal cycle of an
embedding of $X$ in a smooth variety. We prove that the Stiefel-Whitney classes
define additive natural transformations from certain constructible functions to
homology. W... | 1995-08-21 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Joseph H. G. Fu and Clint McCrory |
dg-ga/9508009 | The Novikov-Bott inequalities | We generalize the Novikov inequalities for 1-forms in two different
directions: first, we allow non-isolated critical points (assuming that they
are non-degenerate in the sense of R.Bott), and, secondly, we strengthen the
inequalities by means of twisting by an arbitrary flat bundle. We also obtain
an $L^2$ version of ... | 1995-08-16 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Maxim Braverman and Michael Farber |
dg-ga/9508008 | Equivalence of Geometric and Combinatorial Dehn Functions | In this paper it is proved that if a finitely presented group acts properly
discontinuously, cocompactly and by isometries on a simply connected Riemannian
manifold, then the two Dehn functions, of the group and the manifold,
respectively, are equivalent. | 1995-08-15 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Jose Burillo (University of Utah) |
dg-ga/9508007 | Rank one symmetric spaces and Rigidity | In this paper we show that if the limit set is not small ,marked length
spectrum determines geometric structure of rank one locally symmetric
manifolds. | 1995-08-14 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Inkang Kim |
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