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 |
|---|---|---|---|---|---|---|
cs/9402102 | Substructure Discovery Using Minimum Description Length and Background
Knowledge | The ability to identify interesting and repetitive substructures is an
essential component to discovering knowledge in structural data. We describe a
new version of our SUBDUE substructure discovery system based on the minimum
description length principle. The SUBDUE system discovers substructures that
compress the ori... | 1994-02-01 | 2008-02-03 | [
"cs.AI"
] | D. J. Cook, L. B. Holder |
cs/9402103 | Bias-Driven Revision of Logical Domain Theories | The theory revision problem is the problem of how best to go about revising a
deficient domain theory using information contained in examples that expose
inaccuracies. In this paper we present our approach to the theory revision
problem for propositional domain theories. The approach described here, called
PTR, uses pr... | 1994-02-01 | 2014-11-17 | [
"cs.AI"
] | M. Koppel, R. Feldman, A. M. Segre |
cs/9401101 | Teleo-Reactive Programs for Agent Control | A formalism is presented for computing and organizing actions for autonomous
agents in dynamic environments. We introduce the notion of teleo-reactive (T-R)
programs whose execution entails the construction of circuitry for the
continuous computation of the parameters and conditions on which agent action
is based. In a... | 1994-01-01 | 2014-11-17 | [
"cs.AI"
] | N. Nilsson |
cs/9401102 | Mini-indexes for literate programs | This paper describes how to implement a documentation technique that helps
readers to understand large programs or collections of programs, by providing
local indexes to all identifiers that are visible on every two-page spread. A
detailed example is given for a program that finds all Hamiltonian circuits in
an undirec... | 1994-01-01 | 2008-02-03 | [
"cs.PL"
] | Donald E. Knuth |
dg-ga/9412007 | Meromorphic Potentials and Smooth CMC Surfaces | This work is based on the approach developed by J.~Dorfmeister, F.~Pedit and
H.~Wu [GANG and KITCS preprint, Report KITCS94-4-1] to construct maps
$\Phi:D\rightarrow R^3$, $D$ being the unit disk in $C$, whose images are
surfaces of constant mean curvature. They start from certain meromorphic one
forms, so called merom... | 1994-12-31 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | J. Dorfmeister, G. Haak |
dg-ga/9412006 | On the Scalar Curvature of Complex Surfaces | Let (M,J) be a minimal compact complex surface of Kaehler type. It is shown
that the smooth 4-manifold M admits a Riemannian metric of positive scalar
curvature iff (M,J) admits a KAEHLER metric of positive scalar curvature. This
extends previous results of Witten and Kronheimer. | 1994-12-27 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Claude LeBrun |
dg-ga/9412004 | Blow-up formulas for (-2)-spheres | Let $X$ be a simply connected 4-manifold containing a $(-1)$-sphere $e$.
Fintushel and Stern prove that $$ D_c(\exp(te)) = D_c(B(t)) on e^\perp if
c\cdot e is even, $$ $$ D_c(\exp(te)) = D_{c-e}(S(t)) on e^\perp if c \cdot e
is odd, $$ for some universal series $B(t),S(t) \in \Q[x][[t]]$ with $x$ the
class of a point. ... | 1994-12-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Rogier Brussee |
dg-ga/9412005 | Symplectic toric orbifolds | A symplectic toric orbifold is a compact connected orbifold $M$, a symplectic
form $\omega$ on $M$, and an effective Hamiltonian action of a torus $T$ on
$M$, where the dimension of $T$ is half the dimension of $M$. We prove that
there is a one-to-one correspondence between symplectic toric orbifolds and
convex rationa... | 1994-12-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Eugene Lerman (M.I.T.) and Susan Tolman (M.I.T.) |
dg-ga/9412003 | Symplectic and Poisson structures of certain moduli spaces. II.
Projective representations of cocompact discrete planar groups | Let $G$ be a Lie group with a biinvariant metric, not necessarily positive
definite. It is shown that a certain construction carried out in an earlier
paper for the fundamental group of a closed surface may be extended to an
arbitrary infinite orientation preserving cocompact planar discrete group of
euclidean or non-e... | 1994-12-21 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Johannes Huebschmann (Max Planck I. f. Math., Bonn) |
dg-ga/9412002 | Differential Geometry of Composite Fibred Manifolds | In classical field theory, the composite fibred manifolds Y -> Z -> X
provides the adequate mathematical formulation of gauge models with broken
symmetries, e.g., the gauge gravitation theory. This work is devoted to
connections on composite fibred manifolds. In particular, we get the horizontal
splitting of the vertic... | 1994-12-17 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | G.Sardanashvily (Moscow State University) |
dg-ga/9412001 | Nowhere Holomorphic Mappings | Retracted temporarily to fix some erratic things. | 1994-12-15 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Yuliy Baryshnikov |
dg-ga/9411014 | Smoothing Riemannian Metrics with Ricci Curvature Bounds | We prove that Riemannian metrics with an absolute Ricci curvature bound and a
conjugate radius bound can be smoothed to having a sectional curvature bound.
Using this we derive a number of results about structures of manifolds with
Ricci curvature bounds. | 1994-11-30 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Xianzhe Dai, Guofang Wei and Rugang Ye |
dg-ga/9411015 | Integral geometry of plane curves and knot invariants | We study the integral expression of a knot invariant obtained as the second
coefficient in the perturbative expansion of Witten's Chern-Simons path
integral associated with a knot. One of the integrals involved turns out to be
a generalization of the classical Crofton integral on convex plane curves and
it is related w... | 1994-11-30 | 2008-02-03 | [
"dg-ga",
"hep-th",
"math.DG"
] | Xiao-Song Lin and Zhenghan Wang |
dg-ga/9411013 | Witten deformation of the analytic torsion and the spectral sequence of
a filtration | Let F be a flat vector bundle over a compact Riemannian manifold M and let f
be a Morse function. Let g be a smooth Euclidean metric on F, let g_t=e^{-2tf}g
and let \rho(t) be the Ray-Singer analytic torsion of F associated to the
metric g_t. Assuming that the vector field grad(f) satisfies the Morse-Smale
transversali... | 1994-11-27 | 2008-02-03 | [
"dg-ga",
"hep-th",
"math.DG"
] | Maxim Braverman |
dg-ga/9411012 | Pseudoconvex and Disprisoning Homogeneous Sprays | The pseudoconvex and disprisoning conditions for geodesics of linear
connections are extended to the solution curves of general homogeneous sprays.
The main result is that pseudoconvexity and disprisonment are jointly stable in
the fine topology on the space of all homogeneous sprays of any degree of
homogeneity. | 1994-11-26 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | L. Del Riego and P.E. Parker |
dg-ga/9411008 | Smooth structures on certain moduli spaces for bundles on a surface | Let $\Sigma$ be a closed surface, $G$ a compact Lie group, with Lie algebra
$g$, $\xi \colon P \to \Sigma$ a principal $G$-bundle, let $N(\xi)$ denote the
moduli space of central Yang-Mills connections on $\xi$, for suitably chosen
additional data, and let $\roman{Rep}_{\xi}(\Gamma,G)$ be the space of
representations o... | 1994-11-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Johannes Huebschmann (Max Planck I. f. Math., Bonn) |
dg-ga/9411011 | The number of functionally independent invariants of a
pseudo--Riemannian metric | The number of functionally independent scalar invariants of arbitrary order
of a generic pseudo--Riemannian metric on an $n$--dimensional manifold is
determined. | 1994-11-23 | 2009-10-22 | [
"dg-ga",
"gr-qc",
"math.DG"
] | J Mu\~noz Masqu\'e and Antonio Vald\'es |
dg-ga/9411009 | Poisson structures on certain moduli spaces for bundles on a surface | Let $\Sigma$ be a closed surface, $G$ a compact Lie group, with Lie algebra
$g$, and $\xi \colon P \to \Sigma$ a principal $G$-bundle. In earlier work we
have shown that the moduli space $N(\xi)$ of central Yang- Mills connections,
for appropriate additional data, is stratified by smooth symplectic manifolds
and that t... | 1994-11-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Johannes Huebschmann (Max Planck I. f. Math., Bonn) |
dg-ga/9411010 | Curved Flats and Isothermic Surfaces | We show how pairs of isothermic surfaces are given by curved flats in a
pseudo Riemannian symmetric space and vice versa. Calapso's fourth order
partial differential equation is derived and, using a solution of this
equation, a M\"obius invariant frame for an isothermic surface is built. | 1994-11-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | F. Burstall, U. Hertrich-Jeromin, F. Pedit and U. Pinkall |
dg-ga/9411006 | The singularities of Yang-Mills connections for bundles on a surface. I.
The local model | Let $\Sigma$ be a closed surface, $G$ a compact Lie group, not necessarily
connected, with Lie algebra $g$, endowed with an adjoint action invariant
scalar product, let $\xi \colon P \to \Sigma$ be a principal $G$-bundle, and
pick a Riemannian metric and orientation on $\Sigma$, so that the corresponding
Yang-Mills equ... | 1994-11-22 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Johannes Huebschmann (Max Planck I. f. Math., Bonn) |
dg-ga/9411007 | The singularities of Yang-Mills connections for bundles on a surface.
II. The stratification | Let $\Sigma$ be a closed surface, $G$ a compact Lie group, not necessarily
connected, with Lie algebra $g$, endowed with an adjoint action invariant
scalar product, let $\xi \colon P \to \Sigma$ be a principal $G$-bundle, and
pick a Riemannian metric and orientation on $\Sigma$ so that the corresponding
Yang-Mills equa... | 1994-11-22 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Johannes Huebschmann (Max Planck I. f. Math., Bonn) |
dg-ga/9411005 | Einstein Metrics and Mostow Rigidity | Using the new diffeomorphism invariants of Seiberg and Witten, a uniqueness
theorem is proved for Einstein metrics on compact quotients of irreducible
4-dimensional symmetric spaces of non-compact type. The proof also yields a
Riemannian version of the Miyaoka-Yau inequality. | 1994-11-21 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Claude LeBrun |
dg-ga/9411004 | $\Gamma$-Cohomology and the Selberg Zeta Function | We propose a new method for studying $n$- and $\Gamma$-cohomology of
globalizations of Harish-Chandra modules, where $G=KAN$ is a rank one
semisimple Lie group, $\Gamma$ is a discrete subgroup of $G$ and $n=Lie(N)$. We
prove a conjecture of Patterson relating the singularities of Selberg zeta
functions with the $\Gamma... | 1994-11-18 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Ulrich Bunke, Martin Olbrich |
dg-ga/9411002 | Yamabe Spectra | We study the set of volumes of constant scalar curvature one metrics on an
atoroidal three-manifold.The infinum of this set is believed to be attained at
a hyperbolic metric. We prove that the supremum of this set is always infinity.
The technique is: minimal surfaces, Thurston norm in homology and new conformal
invari... | 1994-11-07 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Alexander Reznikov |
dg-ga/9411003 | Ricci Curvature and Betti Numbers | We derive a uniform bound for the total betti number of a closed manifold in
terms of a Ricci curvature lower bound, a conjugate radius lower bound and a
diameter upper bound. The result is based on an angle version of Toponogov
comparison estimate for small triangles in a complete manifold with a Ricci
curvature lower... | 1994-11-07 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Guofang Wei |
dg-ga/9411001 | Self-Dual Manifolds with Positive Ricci Curvature | We prove that the connected sums CP_2 # CP_2 and CP_2 # CP_2 # CP_2 admit
self-dual metrics with positive Ricci curvature. Moreover, every self-dual
metric of positive scalar curvature on CP_2 # CP_2 is conformal to a metric
with positive Ricci curvature. | 1994-11-04 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Claude LeBrun, Shin Nayatani, and Takashi Nitta |
dg-ga/9410007 | The Fr\"olicher-Nijenhuis bracket for derivation based non commutative
differential forms | In commutative differential geometry the Fr\"olicher-Nijenhuis bracket
computes all kinds of curvatures and obstructions to integrability. In \cit!{3}
the Fr\"olicher-Nijenhuis bracket was developped for universal differential
forms of non-commutative algebras, and several applications were given. In this
paper this br... | 1994-10-19 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Michel Dubois-Violette, Peter W. Michor |
dg-ga/9410006 | Geometry of Cyclic Quotients, I: Knotted Totally Geodesic Submanifolds
in Positively Curved Spheres | We prove that there exists a metric of positive curvature in a three-sphere
which admits a given torus knot as a closed geodesic.We also sketch a
construction of a metric in a four sphere, very likely of positive curvature,
which admits a totally geodesic projective plane with Euler number four.
Surpisingly, the techni... | 1994-10-16 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Alexander Reznikov |
dg-ga/9410005 | Hermitian structures and harmonic morphisms in higher dimensional
Euclidean spaces | We construct new complex-valued harmonic morphisms from Euclidean spaces from
functions which are holomorphic with respect to Hermitian structures. In
particular, we give the first global examples of complex-valued harmonic
morphisms from ${\bf R}^n$ for each $n>4$ which do not arise from a K\"ahler
structure; it is kn... | 1994-10-13 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | P. Baird and J.C. Wood |
dg-ga/9410004 | A construction of singular solutions for a semilinear elliptic equation
using asymptotic analysis | The aim of this paper is to prove the existence of weak solutions to the
equation $\Delta u + u^p = 0$ which are positive in a domain $\Omega \subset
{\Bbb R}^N$, vanish at the boundary, and have prescribed isolated
singularities. The exponent $p$ is required to lie in the interval $(N/(N-2),
(N+2)/(N-2))$. We also pro... | 1994-10-10 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Rafe Mazzeo (Stanford), Frank Pacard (ENPC-Cergrene) |
dg-ga/9410003 | On Rumin's Complex and Adiabatic Limits | This paper shows that when the Riemannian metric on a contact manifold is
blown up along the direction orthogonal to the contact distribution, the
corresponding harmonic forms rescaled and normalized in the $L^2$-norms will
converge to Rumin's harmonic forms. This proves a conjecture in Gromov ``
Carnot-Caratheodory sp... | 1994-10-05 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Zhong Ge |
dg-ga/9410002 | 3-manifolds with(out) metrics of nonpositive curvature | In the context of Thurstons geometrisation program we address the question
which compact aspherical 3-manifolds admit Riemannian metrics of nonpositive
curvature. We show that non-geometric Haken manifolds generically, but not
always, admit such metrics. More precisely, we prove that a Haken manifold
with, possibly emp... | 1994-10-04 | 2009-10-22 | [
"dg-ga",
"math.DG"
] | Bernhard Leeb |
dg-ga/9410001 | Dressing orbits of harmonic maps | We study the harmonic map equations for maps of a Riemann surface into a
Riemannian symmetric space of compact type from the point of view of soliton
theory. There is a well-known dressing action of a loop group on the space of
harmonic maps and we discuss the orbits of this action through particularly
simple harmonic ... | 1994-10-04 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | F.E. Burstall and F. Pedit |
dg-ga/9409005 | On multilinear operators commuting with Lie derivatives | Let $E_1,\dots ,E_k$ and $E$ be natural vector bundles defined over the
category $\Cal Mf_m^+$ of smooth oriented $m$--dimensional manifolds and
orientation preserving local diffeomorphisms, with $m\geq 2$. Let $M$ be an
object of $\Cal Mf_m^+$ which is connected. We give a complete classification
of all separately con... | 1994-09-28 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Andreas Cap, Jan Slovak |
dg-ga/9409004 | On the nonHamiltonian interaction of two rotators | Classical dynamical equations describing a certain version of the
nonHamiltonian interaction of two rotators (Euler tops with completely
degenerate inertia tensors) are considered. The simplest case is integrated. It
is shown that the dynamics is almost periodic with periods depending on the
initial data. | 1994-09-23 | 2008-02-03 | [
"dg-ga",
"chao-dyn",
"math.DG",
"nlin.CD",
"nlin.SI",
"solv-int"
] | Denis V. Juriev |
dg-ga/9409003 | The spectrum of an asymptotically hyperbolic Einstein manifold | This paper relates the spectrum of the scalar Laplacian of an asymptotically
hyperbolic Einstein metric to the conformal geometry of its ``ideal boundary''
at infinity. It follows from work of R. Mazzeo that the essential spectrum of
such a metric on an $(n+1)$-dimensional manifold is the ray $[n^2/4,\infty)$,
with no ... | 1994-09-19 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | John M. Lee (University of Washington) |
dg-ga/9409002 | Scalar-Flat Kaehler Surfaces of All Genera | Let (M,J) be a compact complex 2-manifold which which admits a Kaehler metric
for which the integral of the scalar curvature is non-negative. Also suppose
that M does not admit a Ricci-flat K\"ahler metric. Then if M is blown up at
sufficiently many points, the resulting complex surface admits Kaehler metrics
with scal... | 1994-09-09 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Jongsu Kim, Claude LeBrun, and Massimiliano Pontecorvo |
dg-ga/9409001 | Fano Manifolds, Contact Structures, and Quaternionic Geometry | Let Z be a compact complex (2n+1)-manifold which carries a {\em complex
contact structure}, meaning a codimension-1 holomorphic sub-bundle D of TZ
which is maximally non-integrable. If Z admits a K\"ahler-Einstein metric of
positive scalar curvature, we show that it is the Salamon twistor space of a
quaternion-K\"ahler... | 1994-09-09 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Claude LeBrun |
dg-ga/9408005 | On the Dirichlet problem for harmonic maps with prescribed singularities | Let $\M$ be a classical Riemannian globally symmetric space of rank one and
non-compact type. We prove the existence and uniqueness of solutions to the
Dirichlet problem for harmonic maps into $\M$ with prescribed singularities
along a closed submanifold of the domain. This generalizes our previous work
where such maps... | 1994-08-26 | 2010-06-24 | [
"dg-ga",
"math.DG"
] | Gilbert Weinstein |
dg-ga/9408004 | The Moduli Space of Complete Embedded Constant Mean Curvature Surfaces | We examine the space of surfaces in $\RR^{3}$ which are complete, properly
embedded and have nonzero constant mean curvature. These surfaces are
noncompact provided we exclude the case of the round sphere. We prove that the
space $\Mk$ of all such surfaces with $k$ ends (where surfaces are identified
if they differ by ... | 1994-08-19 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Rob Kusner, Rafe Mazzeo and Daniel Pollack |
dg-ga/9408003 | Modular operads | Modular operads are a special type of operad: in fact, they bear the same
relationship to operads that graphs do to trees (i.e. simply connected graphs).
One of the basic examples of a modular operad is the collection of
Deligne-Mumford-Knudsen moduli spaces $\bar{M}_{g,n}$ of stable pointed
algebraic curves; hence the... | 1994-08-17 | 2009-09-25 | [
"dg-ga",
"alg-geom",
"hep-th",
"math.AG",
"math.DG"
] | E. Getzler and M.M. Kapranov (Departments of Mathematics, MIT and
Northwestern University) |
dg-ga/9408002 | Witten deformation of Ray-Singer analytic torsion | Consider a flat vector bundle F over compact Riemannian manifold M and let f
be a self-indexing Morse function on M. Let g be a smooth Euclidean metric on
F. Set g_t=exp(-2tf)g and let \rho(t) be the Ray-Singer analytic torsion of F
associated to the metric g_t. Assuming that the vector field $grad f$ satisfies
the Mor... | 1994-08-16 | 2016-08-31 | [
"dg-ga",
"hep-th",
"math.DG"
] | Maxim Braverman |
dg-ga/9408001 | Convexity Properties of the Moment Mapping Re-examined | Consider a Hamiltonian action of a compact Lie group on a compact symplectic
manifold. A theorem of Kirwan's says that the image of the momentum mapping
intersects the positive Weyl chamber in a convex polytope. I present a new
proof of Kirwan's theorem, which gives explicit information on how the vertices
of the polyt... | 1994-08-15 | 2008-02-03 | [
"dg-ga",
"alg-geom",
"math.AG",
"math.DG"
] | Reyer Sjamaar |
dg-ga/9407015 | Bundle gerbes | Just as $\Cstar$ principal bundles provide a geometric realisation of
two-dimensional integral cohomology; gerbes or sheaves of groupoids, provide a
geometric realisation of three dimensional integral cohomology through their
Dixmier-Douady class. I consider an alternative, related, geometric realisation
of three dimen... | 1994-07-25 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Michael K. Murray |
dg-ga/9407013 | Theta and zeta functions for locally symmetric spaces of rank one | We study the Selberg zeta and the theta function associated to bundles over
even-dimensional locally symmetric spaces of rank one. | 1994-07-22 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Ulrich Bunke and Martin Olbrich |
dg-ga/9407014 | A theta function for hyperbolic surfaces with cusps | For a Riemann surface with cusps we define a theta function using the
eigenvalues of the Laplacian and the singularities of the scattering
determinant. We provide its meromorphic continuation and discuss its
singularities. | 1994-07-22 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Ulrich Bunke and Martin Olbrich |
dg-ga/9407012 | Theta and zeta functions for odd-dimensional locally symmetric spaces of
rank one | This paper is a continuation of our work on theta and zeta functions In the
previous papers we considered the case of even dimensional rank one symmetric
spaces of non-compact type. The present is concerned with the odd-dimensional
case, i.e. with odd-dimensional real hyperbolic manifolds. It is the natural
appearence ... | 1994-07-22 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Ulrich Bunke and Martin Olbrich |
dg-ga/9407011 | Pr\'equantification de Certaines Vari\'et\'es de Poisson | A surjective submersion $\pi : M \to B$ carrying a field of simplectic
structures on the fibres is symplectic if this Poisson structure is minimal. A
symplectic submersion may be interpreted as a family of mechanical systems
depending on a parameter in $B$. We give some conditions to find a closed form
which represent ... | 1994-07-21 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | F. Alcalde Cuesta |
dg-ga/9407010 | Quadratic Equations in Groups from the Global Geometry Viewpoint | I use harmonic maps and minimal surfaces to study quadratic equations in
groups. | 1994-07-21 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Alexander Reznikov |
dg-ga/9407009 | Int\'egration symplectique des vari\'et\'es de Poisson r\'eguli\`eres | A symplectic integration of a Poisson manifold $(M,\Lambda)$ is a symplectic
groupoid $(\Gamma,\eta)$ which realizes the given Poisson manifold, i.e. such
that the space of units $\Gamma_0$ with the induced Poisson structure
$\Lambda_0$ is isomorphic to $(M,\Lambda)$. This notion was introduced by A.
Weinstein in order... | 1994-07-20 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | F. Alcalde-Cuesta, G. Hector |
dg-ga/9407008 | Jumps of the eta invariant | We study the eta-invariant, defined by Atiyah-Patodi-Singer a real valued
invariant of an oriented odd-dimensional Riemannian manifold equipped with a
unitary representation of its fundamental group. When the representation varies
analytically, the corresponding eta-invariant may have an integral jump, known
also as th... | 1994-07-20 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Michael S. Farber, Jerome P. Levine |
dg-ga/9407007 | Rationality of secondary classes | We prove the Bloch conjecture : $ c_2(E) \in H^4_\cald (X,\bbz(2))$ is
torsion for holomorphic rank two vector bundles $E$ with an integrable
connection over a complex projective variety $X$. We prove also the rationality
of the Chern-Simons invariant of compact arithmetic hyperbolic three-manifolds.
We give a sharp hi... | 1994-07-19 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Alexander Reznikov |
dg-ga/9407006 | All regulators of flat bundles are torsion | I prove the Bloch conjecture:all secondary characteristic classes of flat
bundles over complex projective varietes are torsion, except the first. | 1994-07-18 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Alexander Reznikov |
dg-ga/9407004 | Transformation de Fourier-Mukai sur les Surfaces Hyperk\"ahl\'eriennes | Given two compact hyperk\"ahler surfaces $X$ and $Y$ and a holomorphic vector
bundle $Q$ on $X\times Y$, which is a generalized instanton, one can define a
Fourier-Mukai transform, which, under suitable assumptions, maps vector bundles
on $X$ to vector bundles on $Y$. If $X$ and $Y$ are dual complex tori, this
transfor... | 1994-07-15 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | C. Bartocci, U. Bruzzo and D. Hernandez Ruiperez |
dg-ga/9407005 | A note on the index bundle over the moduli space of monopoles | Donaldson has shown that the moduli space of monopoles $M_k$ is diffeomorphic
to the space $\Rat_k$ of based rational maps from the two-sphere to itself. We
use this diffeomorphism to give an explicit description of the bundle on
$\Rat_k$ obtained by pushing out the index bundle from $M_k$. This gives an
alternative an... | 1994-07-15 | 2009-10-22 | [
"dg-ga",
"hep-th",
"math.DG"
] | John D. S. Jones and Michael K. Murray |
dg-ga/9407003 | Proper group actions and symplectic stratified spaces | Let $(M,\omega)$ be a Hamiltonian $G$-space with a momentum map $F:M \to
{\frak g}^*$. It is well-known that if $\alpha$ is a regular value of $F$ and
$G$ acts freely and properly on the level set $F^{-1}(G\cdot \alpha)$, then the
reduced space $M_\alpha :=F^{-1}(G\cdot \alpha)/G$ is a symplectic manifold. We
show that... | 1994-07-07 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | L. Bates and E. Lerman |
dg-ga/9407002 | A ``stable'' version of the Gromov-Lawson conjecture | We discuss a conjecture of Gromov and Lawson, later modified by Rosenberg,
concerning the existence of metrics of positive scalar curvature. It says that
a closed spin manifold $M$ of dimension $n\ge 5$ has such a metric if and only
if the index of a suitable ``Dirac" operator in $KO_n(C^* (\pi_1(M)))$, the
real $K$-th... | 1994-07-05 | 2019-07-29 | [
"dg-ga",
"math.DG"
] | Jonathan Rosenberg and Stephan Stolz |
dg-ga/9407001 | Teichmuller Space is Not Gromov Hyperbolic | We prove that the Teichmuller Space of Riemann Surfaces of genus g>1,
equipped with the Teichmuller metric, is not a Gromov Hyperbolic space. | 1994-07-01 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Howard A. Masur and Michael Wolf |
dg-ga/9406007 | The Spectral Flow of the Odd Signature operator and Higher Massey
Products | We show how to compute the spectral flow of the odd signature operator $\pm
*d_{a_t}-d_{a_t}*$ along an analytic path of flat connections $a_t$ on a bundle
over a closed odd-dimensional manifold in terms of Massey products in the DGLA
of bundle-valued differential forms. To obtain this information, we set up a
sequence... | 1994-06-30 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Paul Kirk and Eric Klassen |
dg-ga/9406005 | $n$-transitivity of certain diffeomorphism groups | Some groups of real analytic diffeomorphism act n-transitively for each
finite n. | 1994-06-30 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Peter W. Michor, Cornelia Vizman |
dg-ga/9406006 | Basic differential forms for actions of Lie groups | A section of a Riemannian $G$-manifold $M$ is a closed submanifold $\Sigma$
which meets each orbit orthogonally. It is shown that the algebra of
$G$-invariant differential forms on $M$ which are horizontal in the sense that
they kill every vector which is tangent to some orbit, is isomorphic to the
algebra of those dif... | 1994-06-30 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Peter W. Michor |
dg-ga/9406004 | Moduli Spaces of Singular Yamabe Metrics | Complete, conformally flat metrics of constant positive scalar curvature on
the complement of $k$ points in the $n$-sphere, $k \ge 2$, $n \ge 3$, were
constructed by R\. Schoen [S2]. We consider the problem of determining the
moduli space of all such metrics. All such metrics are asymptotically periodic,
and we develop... | 1994-06-30 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Rafe Mazzeo, Daniel Pollack and Karen Uhlenbeck |
dg-ga/9406003 | On the Existence of Jenkins-Strebel Differentials Using Harmonic Maps
from Surfaces to Graphs | We give a new proof of the existence (\cite{HM}, \cite{Ren}) of a
Jenkins-Strebel differential $\Phi$ on a Riemann surface $\SR$ with prescribed
heights of cylinders by considering the harmonic map from $\SR$ to the leaf
space of the vertical foliation of $\Phi$, thought of as a Riemannian graph.
The novelty of the arg... | 1994-06-29 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Michael Wolf |
dg-ga/9406002 | Characteristic Numbers and Generalized Path Integrals | This is an extended write-up of a talk given in April, 1993 in honor of Raoul
Bott's 70th birthday. We first illustrate how some traditional topological and
geometric invariants obey ``gluing laws'' inspired by those in classical and
quantum field theory. Here we discuss characteristic numbers, particularly the
Euler n... | 1994-06-28 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Daniel S. Freed |
dg-ga/9406001 | On extremals with prescribed Lagrangian densities | Consider two manifolds~$M^m$ and $N^n$ and a first-order Lagrangian $L(u)$
for mappings $u:M\to N$, i.e., $L$ is an expression involving $u$ and its first
derivatives whose value is an $m$-form (or more generally, an $m$-density)
on~$M$. One is usually interested in describing the extrema of the functional
$\Cal L(u) =... | 1994-06-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Robert L. Bryant |
funct-an/9412004 | Diagonalization of compact operators in Hilbert modules over finite
W*-algebras | It is known that a continuous family of compact operators can be diagonalized
pointwise. One can consider this fact as a possibility of diagonalization of
the compact operators in Hilbert modules over a commutative W*-algebra. The aim
of the present paper is to generalize this fact for a finite W*-algebra $A$ not
neces... | 1994-12-16 | 2008-02-03 | [
"funct-an",
"math.OA"
] | V.M.Manuilov |
funct-an/9412003 | On dense subspaces in a class of Fr\'echet function spaces on R^n | When dealing with concrete problems in a function space on R^n, it is
sometimes helpful to have a dense subspace consisting of functions of a
particular type, adapted to the problem under consideration. We give a theorem
that allows one to write down many of such subspaces in commonly occurring
Fr\'echet function space... | 1994-12-13 | 2008-02-03 | [
"funct-an",
"math.FA"
] | M.F.E. de Jeu (Mathematical Institute, Leiden University, The
Netherlands) |
funct-an/9412002 | An Equivariant Brauer Group and Actions of Groups on C*-algebras | Suppose that $(G,T)$ is a second countable locally compact transformation
group given by a homomorphism $\ell:G\to\Homeo(T)$, and that $A$ is a separable
continuous-trace \cs-algebra with spectrum $T$. An action $\alpha:G\to\Aut(A)$
is said to cover $\ell$ if the induced action of $G$ on $T$ coincides with the
original... | 1994-12-12 | 2008-02-03 | [
"funct-an",
"math.OA"
] | David Crocker, Alex Kumjian, Iain Raeburn, and Dana Williams |
funct-an/9412001 | Berezin's quantization on flag manifolds and spherical modules | It is shown that the theory of spherical Harish-Chandra modules naturally
provides the algebras of covariant, contravariant and mixed symbols on
generalized flag manifolds. The general proof of the correspondence principle
for all these symbol algebras is given. | 1994-12-01 | 2015-04-21 | [
"funct-an",
"math.OA",
"math.QA"
] | A.V.Karabegov |
funct-an/9411008 | Diagonalizing ''compact'' operators on Hilbert W*-modules | For W*-algebras A and self-dual Hilbert A-modules M we show that every
self-adjoint, ''compact'' module operator on M is diagonalizable. Some specific
properties of the eigenvalues and of the eigenvectors are described. | 1994-11-24 | 2025-05-08 | [
"funct-an",
"math.OA"
] | Michael Frank and Vladimir M. Manuilov |
funct-an/9411007 | Characteristics of pairs of operators, Lie hybrids, Poisson brackets and
nonlinear geometric algebra | Some algebraic, geometric and geometroalgebraic characteristics of pairs of
operators are discussed. | 1994-11-22 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Denis Juriev |
funct-an/9411006 | Path spaces, continuous tensor products, and E_0 semigroups | We classify all continuous tensor product systems of Hilbert spaces which are
``infinitely divisible" in the sense that they have an associated logarithmic
structure. These results are applied to the theory of E_0 semigroups to deduce
that every E_0 semigroup which possesses sufficiently many ``decomposable"
operators ... | 1994-11-20 | 2008-02-03 | [
"funct-an",
"math.OA"
] | William Arveson |
funct-an/9411005 | Determinants of elliptic boundary problems for Dirac operators I. Local
boundary conditions | We study functional determinants for Dirac operators on manifolds with
boundary and discuss the ellipticity of boundary problems by using the
Calder\'on projector. We give, for local boundary conditions, an explicit
formula relating these determinants to the corresponding Green functions. We
finally apply this result t... | 1994-11-04 | 2016-08-14 | [
"funct-an",
"math.FA"
] | H. Falomir, R.E. Gamboa Sarav\'i, M.A. Muschietti, E.M. Santangelo and
J.E.Solomin |
funct-an/9411004 | Time-Optimal Control Problem for the Swing and the Ski | This paper is concerned with a class of time-optimal control problems for the
swing and the ski. We first consider the motion of a man standing on a swing.
For simplicity, we neglect friction and air resistance and assume that the mass
of the swinger is concentrated in his baricenter $B$. For the ski, we use the
model ... | 1994-11-03 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Benedetto Piccoli |
funct-an/9411002 | Existence results for non-coercive variational problems | The aim of this paper is to give an existence result for a class of
one-dimensional, non-convex, non-coercive problems in the Calculus of
Variations. The main tools for the proof are an existence theorem in the convex
case and the closure of the convex hull of the epigraph of functions strictly
convex at infinity. | 1994-11-03 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Graziano Crasta and Annalisa Malusa |
funct-an/9411003 | An existence result for non-coercive non-convex problems | We consider a class of one--dimensional non--convex non--coercive problems in
the Calculus of Variations. We prove an existence result for this class of
problems using a Liapunov type theorem on the range of non--atomic measures. | 1994-11-03 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Graziano Crasta |
funct-an/9411001 | An Adiabatic Theorem for Singularly Perturbed Hamiltonians | The adiabatic approximation in quantum mechanics is considered in the case
where the self-adjoint hamiltonian $H_0(t)$, satisfying the usual spectral gap
assumption in this context, is perturbed by a term of the form $\epsilon
H_1(t)$. Here $\epsilon \to 0$ is the adiabaticity parameter and $H_1(t)$ is a
self-adjoint o... | 1994-11-02 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Alain Joye |
funct-an/9410005 | Landau Hamiltonians with Random Potentials: Localization and the Density
of States | We prove the existence of localized states at the edges of the bands for the
two-dimensional Landau Hamiltonian with a random potential, of arbitrary
disorder, provided that the magnetic field is sufficiently large. The
corresponding eigenfunctions decay exponentially with the magnetic field and
distance. We also prove... | 1994-10-18 | 2008-02-03 | [
"funct-an",
"math-ph",
"math.FA",
"math.MP"
] | J.M. Combes, P.D. Hislop |
funct-an/9410004 | Convolution and Limit Theorems for Conditionally Free Random Variables | We introduce the notion of a conditionally free product and conditionally
free convolution. We describe this convolution both from a combinatorial point
of view, by showing its connection with the lattice of non-crossing partitions,
and from an analytic point of view, by presenting the basic formula for its
$R$-transfo... | 1994-10-17 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Marek Bozejko, Michael Leinert, Roland Speicher |
funct-an/9410003 | Crossed products whose primitive ideal spaces are generalized trivial
$\widehat G$-bundles | We characterize when the primitive ideal space of a crossed product $\acg$ of
a \cs-algebra $A$ by a locally compact abelian group $G$ is a $\sigma$-trivial
$\ghat G$-space for the dual $\ghat G$-action. Specifically, we show that
$\Prim(\acg)$ is $\sigma$-trivial if and only if the quasi-orbit space is
Hausdorff, the ... | 1994-10-12 | 2016-08-31 | [
"funct-an",
"math.OA"
] | Siegfried Echterhoff and Dana Williams |
funct-an/9410002 | $L^p$-Spaces as Quasi *-Algebras | The Banach space $L^p(X,\mu)$, for $X$ a compact Hausdorff measure space, is
considered as a special kind of quasi *-algebra (called CQ*-algebra) over the
C*-algebra $C(X)$ of continuous functions on $X$. It is shown that, for $p \geq
2$, $(L^p(X,\mu), C(X))$ is *-semisimple (in a generalized sense). Some
consequences ... | 1994-10-05 | 2008-02-03 | [
"funct-an",
"math.OA"
] | F. Bagarello and C. Trapani |
funct-an/9410001 | Relative Convolutions. I. Properties and Applications | To study operator algebras with symmetries in a wide sense we introduce a
notion of {\em relative convolution operators} induced by a Lie algebra.
Relative convolutions recover many important classes of operators, which have
been already studied (operators of multiplication, usual group convolutions,
two-sided convolut... | 1994-10-03 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Vladimir V. Kisil |
funct-an/9409004 | The equivariant Brauer groups of commuting free and proper actions are
isomorphic | If $X$ is a locally compact space which admits commuting free and proper
actions of locally compact groups $G$ and $H$, then the Brauer groups
$\Br_H(G/X)$ and $\Br_G(X/H)$ are naturally isomorphic. | 1994-09-27 | 2008-02-03 | [
"funct-an",
"math.FA",
"math.RT"
] | Alexander Kumjian, Iain Raeburn, and Dana P. Williams |
funct-an/9409003 | Classical and quantum dynamics of noncanonically coupled oscillators and
Lie superalgebras | The classical and quantum dynamics of noncanonically coupled os- cillators is
investigated in its relation to Lie superalgebras. It is shown that the quantum
dynamics admits a hidden (super)hamiltonian formulation and, hence, preserves
the initial operator relations. | 1994-09-26 | 2008-02-03 | [
"funct-an",
"chao-dyn",
"math.OA",
"nlin.CD",
"nlin.SI",
"solv-int"
] | D.V.Juriev |
funct-an/9409002 | On an Application of Hypoellipticity to Solutions of Functional
Equations | We study the regularity of solutions of functional equations of a generalized
mean value type. In this paper we give sufficient conditions for the regularity
by using hypoellipticity which is a concept of the theory of partial
differential equations. Further we also give an affirmative answer to a
conjecture of H.\'Swi... | 1994-09-21 | 2016-08-31 | [
"funct-an",
"math.FA"
] | A. Tsutsumi and S. Haruki |
funct-an/9409001 | Approximate unitary equivalence of homomorphisms from O_{\infty} | We prove that if two homomorphisms from O_{\infty} to a purely infinite
simple C*-algebra have the same class in KK-theory, and if either both are
unital or both are nonunital, then they are approximately unitarily equivalent.
It follows that O_{\infty} is classifiable in the sense of Rordam. In
particular, Rordam's cl... | 1994-09-07 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Huaxin Lin and N. Christopher Phillips |
funct-an/9408003 | Interpolations between Bosonic and Fermionic Relations given by
Generalized Brownian Motions (revised version) | We present an interpolation between the bosonic and fermionic relations. This
interpolation is given by an object which we call `generalized Brownian motion'
and which is characterized by a generalization of the pairing rule for the
calculation of the moments of bosonic and fermionic fields. We develop some
basic theor... | 1994-08-31 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Marek Bozejko and Roland Speicher |
funct-an/9408004 | Hilbert C*-modules over monotone complete C*-algebras | The aim of the present paper is to describe self-duality and C*- reflexivity
of Hilbert {\bf A}-modules $\cal M$ over monotone complete C*-algebras {\bf A}
by the completeness of the unit ball of $\cal M$ with respect to two types of
convergence being defined, and by a structural criterion. The derived results
generali... | 1994-08-31 | 2025-04-29 | [
"funct-an",
"math.OA"
] | Michael Frank |
funct-an/9408002 | Completely Positive Maps on Coxeter Groups, Deformed Commutation
Relations, and Operator Spaces | In this article we prove that quasi-multiplicative (with respect to the usual
length function) mappings on the permutation group $\SSn$ (or, more generally,
on arbitrary amenable Coxeter groups), determined by self-adjoint contractions
fulfilling the braid or Yang-Baxter relations, are completely positive. We
point out... | 1994-08-30 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Marek Bozejko and Roland Speicher |
funct-an/9408001 | Endomorphisms of B(H) | The unital endomorphisms of B(H) of (Powers) index n are classified by
certain U(n)-orbits in the set of non-degenerate representations of the Cuntz
algebra O_n on H. Using this, the corre- sponding conjugacy classes are
identified, and a set of labels is given. This set is given as P modulo a
certain non-smooth equiva... | 1994-08-29 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Ola Bratteli, Palle Jorgensen and Geoff Price |
funct-an/9406005 | An Algebraic Spin and Statistics Theorem | A spin-statistics theorem and a PCT theorem are obtained in the context of
the superselection sectors in Quantum Field Theory on a 4-dimensional
space-time. Our main assumption is the requirement that the modular groups of
the von Neumann algebras of local observables associated with wedge regions act
geometrically as ... | 1994-06-23 | 2008-11-26 | [
"funct-an",
"hep-th",
"math.OA"
] | Daniele Guido, Roberto Longo |
funct-an/9406004 | Douady's conjecture on Banach analytic spaces | We show that, as conjectured by Adrien Douady back in 1972, every complete
metric space is homeomorphic (moreover, isometric) to the locus of zeros of an
analytic map between two Banach spaces. As a corollary, a paracompact
topological space admits the structure of a Banach analytic space if and only
if it is metrizabl... | 1994-06-20 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Vladimir G. Pestov |
funct-an/9406002 | Lexicographic semigroupoids | The natural lexicographic semigroupoids associated with Cantor product spaces
indexed by countable linear orders are classified. Applications are given to
the classification of triangular operator algebras which are direct limits of
upper triangular matrix algebras. | 1994-06-07 | 2008-02-03 | [
"funct-an",
"math.OA"
] | S. C. Power |
funct-an/9406003 | On the Banach space isomorphism type of AF C*-algebras and their
triangular subalgebras | It is shown that all the approximately finite dimensional C*-algebras which
are not of Type I are isomorphic as Banach spaces. This generalises the matroid
case given previously by Arazy. Analogous results are obtained for various
families of triangular subalgebras of AF C*-algebras. In addition the
classification of v... | 1994-06-07 | 2008-02-03 | [
"funct-an",
"math.OA"
] | S. C. Power |
funct-an/9406001 | Infinite Lexicographic Products of Triangular Algebras | Some new connections are given between linear orderings and triangular
operator algebras. A lexicograhic product is defined for triangular operator
algebras and the Jacobson radical of an infinite lexicographic product of upper
triangular matrix algebras is determined. | 1994-06-07 | 2008-02-03 | [
"funct-an",
"math.OA"
] | S. C. Power |
funct-an/9405005 | Homology for operator algebras II : Stable homology for non-self-adjoint
algebras | A new homology is defined for a non-self-adjoint operator algebra and
distinguished masa which is based upon cycles and boundaries associated with
complexes of partial isometries in the stable algebra. Under natural hypotheses
the zeroth order group coincides with the $\ K_0$\ group of the generated
C*-algebra. Several... | 1994-05-18 | 2008-02-03 | [
"funct-an",
"math.OA"
] | S. C. Power |
funct-an/9405004 | Homology for operator algebras I: Spectral homology for reflexive
algebras | A stable homology theory is defined for completely distributive CSL algebras
in terms of the point-neighbourhood homology of the partially ordered set of
meet-irreducible elements of the invariant projection lattice. This specialises
to the simplicial homology of the underlying simplicial complex in the case of
a digra... | 1994-05-18 | 2008-02-03 | [
"funct-an",
"math.OA"
] | S. C. Power |
funct-an/9405003 | Epimorphisms of C*-algebras are surjective | We answer a question raised by V.G.Pestov in the affirmative. | 1994-05-16 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Karl H. Hofmann and Karl-H.Neeb |
funct-an/9405002 | No More Than Mechanics. I | One can introduce so-called {\em Plain Mechanics} having an {\bf operator
realization}. Then the set of one-dimension representations of this operator
realization may be identified with the Classical Mechanics. Different
irreducible infinite-dimension representations may be recognized as Quantum
Mechanics for different... | 1994-05-02 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Vladimir V. Kisil |
funct-an/9405001 | Twisted Partial Actions, A Classification of Stable C*-Algebraic Bundles
(Preliminary Version) | We introduce the notion of continuous twisted partial actions of a locally
compact group on a C*-algebra. With such, we construct an associated
C*-algebraic bundle called the semidirect product bundle. Our main theorem
shows that, given any C*-algebraic bundle which is second countable and whose
unit fiber algebra is s... | 1994-05-02 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Ruy Exel |
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