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 |
|---|---|---|---|---|---|---|
hep-th/9201029 | Supersymmetric Black Holes | The effective action of $N=2$, $d=4$ supergravity is shown to acquire no
quantum corrections in background metrics admitting super-covariantly constant
spinors. In particular, these metrics include the Robinson-Bertotti metric
(product of two 2-dimensional spaces of constant curvature) with all 8
supersymmetries unbrok... | 1992-01-15 | 2009-10-22 | [
"hep-th"
] | Renata Kallosh |
hep-th/9201026 | Classical A_n--W-Geometry | This is a detailed development for the $A_n$ case, of our previous article
entitled "W-Geometries" to be published in Phys. Lett. It is shown that the
$A_n$--W-geometry corresponds to chiral surfaces in $CP^n$. This is comes out
by discussing 1) the extrinsic geometries of chiral surfaces (Frenet-Serret and
Gauss-Codaz... | 1992-01-14 | 2009-10-22 | [
"hep-th"
] | Jean-Loup Gervais, and Yutaka Matsuo |
hep-th/9201027 | Coset Constructions in Chern-Simons Gauge Theory | Coset constructions in the framework of Chern-Simons topological gauge
theories are studied. Two examples are considered: models of the types
${U(1)_p\times U(1)_q\over U(1)_{p+q}}\cong U(1)_{pq(p+q)}$ with $p$ and $q$
coprime integers, and ${SU(2)_m\times SU(2)_1\over SU(2)_{m+1}}$. In the latter
case it is shown that... | 1992-01-14 | 2009-10-22 | [
"hep-th"
] | J. M. Isidro, J. M. F. Labastida and A. V. Ramallo |
hep-th/9201028 | Can a Lattice String Have a Vanishing Cosmological Constant? | We prove that a class of one-loop partition functions found by Dienes, giving
rise to a vanishing cosmological constant to one-loop, cannot be realized by a
consistent lattice string. The construction of non-supersymmetric string with a
vanishing cosmological constant therefore remains as elusive as ever. We also
discu... | 1992-01-14 | 2009-10-22 | [
"hep-th"
] | Terry Gannon (Carleton University) and C.S. Lam (McGill University) |
hep-th/9201025 | Current Algebra of Classical Non-Linear Sigma Models | The current algebra of classical non-linear sigma models on arbitrary
Riemannian manifolds is analyzed. It is found that introducing, in addition to
the Noether current $j_\mu$ associated with the global symmetry of the theory,
a composite scalar field $j$, the algebra closes under Poisson brackets. | 1992-01-13 | 2009-10-22 | [
"hep-th"
] | M.Forger, J.Laartz, U.Schaeper |
hep-th/9201023 | $SL(\infty,R)$ Symmetry of $W_\infty$ Gravity | Two-dimensional gravity in the light-cone gauge was shown by Polyakov to
exhibit an underlying $SL(2,R)$ Kac-Moody symmetry, which may be used to
express the energy-momentum tensor for the metric component $h_{++}$ in terms
of the $SL(2,R)$ currents {\it via}\ the Sugawara construction. We review some
recent results wh... | 1992-01-13 | 2009-10-22 | [
"hep-th"
] | C.N. Pope |
hep-th/9201024 | A New Deformation of W-Infinity and Applications to the Two-loop WZNW
and Conformal Affine Toda Models | We construct a centerless W-infinity type of algebra in terms of a generator
of a centerless Virasoro algebra and an abelian spin-1 current. This algebra
conventionally emerges in the study of pseudo-differential operators on a
circle or alternatively within KP hierarchy with Watanabe's bracket.
Construction used here ... | 1992-01-13 | 2009-10-22 | [
"hep-th"
] | H. Aratyn, L.A. Ferreira, J.F. Gomes, A.H. Zimerman |
hep-th/9201022 | Anomalous Jacobian Factor in the Polyakov Measure for Abelian Gauge
Field in Curved Spacetimes | The Polyakov measure for the Abelian gauge field is considered in the
Robertson-Walker spacetimes. The measure is concretely represented by adopting
two kind of decompositions of the gauge field degrees of freedom which are most
familiarly used in the covariant and canonical path integrals respectively. It
is shown tha... | 1992-01-13 | 2007-05-23 | [
"hep-th"
] | Hiroki Fukutaka |
hep-th/9201021 | Scalar-Tensor Quantum Gravity in Two Dimensions | We discuss some classical and quantum properties of 2d gravity models
involving metric and a scalar field. Different models are parametrized in terms
of a scalar potential. We show that a general Liouville-type model with
exponential potential and linear curvature coupling is renormalisable at the
quantum level while a... | 1992-01-12 | 2009-09-17 | [
"hep-th"
] | J. Russo and A.A. Tseytlin |
hep-th/9201020 | The Superparticle and the Lorentz Group | We present a unified group-theoretical framework for superparticle theories.
This explains the origin of the ``twistor-like'' variables that have been used
in trading the superparticle's $\kappa$-symmetry for worldline supersymmetry.
We show that these twistor-like variables naturally parametrise the coset space
${\cal... | 1992-01-11 | 2010-11-01 | [
"hep-th"
] | A.S. Galperin and K.S. Stelle |
hep-th/9201019 | The Coupling of Yang-Mills to Extended Objects | The coupling of Yang-Mills fields to the heterotic string in bosonic
formulation is generalized to extended objects of higher dimension (p-branes).
For odd p, the Bianchi identities obeyed by the field strengths of the
(p+1)-forms receive Chern-Simons corrections which, in the case of the 5-brane,
are consistent with a... | 1992-01-10 | 2008-11-26 | [
"hep-th"
] | J. A. Dixon, M. J. Duff, and E. Sezgin |
hep-th/9201018 | Discrete and Continuum Virasoro Constraints in Two-Cut Hermitian Matrix
Models | Continuum Virasoro constraints in the two-cut hermitian matrix models are
derived from the discrete Ward identities by means of the mapping from the
$GL(\infty )$ Toda hierarchy to the nonlinear Schr\"odinger (NLS) hierarchy.
The invariance of the string equation under the NLS flows is worked out. Also
the quantization... | 1992-01-09 | 2017-02-01 | [
"hep-th"
] | Waichi Ogura |
hep-th/9201014 | A Generalized Construction of Mirror Manifolds | We generalize the known method for explicit construction of mirror pairs of
$(2,2)$-superconformal field theories, using the formalism of Landau-Ginzburg
orbifolds. Geometrically, these theories are realized as Calabi-Yau
hypersurfaces in weighted projective spaces. This generalization makes it
possible to construct th... | 1992-01-09 | 2009-10-22 | [
"hep-th"
] | P. Berglund and T. H\"ubsch |
hep-th/9201017 | A Note on Background (In)dependence | In general quantum systems there are two kinds of spacetime modes, those that
fluctuate and those that do not. Fluctuating modes have normalizable
wavefunctions. In the context of 2D gravity and ``non-critical'' string theory
these are called macroscopic states. The theory is independent of the initial
Euclidean backgr... | 1992-01-09 | 2009-09-15 | [
"hep-th"
] | Nathan Seiberg and Stephen Shenker |
hep-th/9201016 | Bicovariant Differential Calculus on the Quantum D=2 Poincare Group | We present a bicovariant differential calculus on the quantum Poincare group
in two dimensions. Gravity theories on quantum groups are discussed. | 1992-01-09 | 2009-10-22 | [
"hep-th"
] | Leonardo Castellani |
hep-th/9201010 | From Virasoro Constraints in Kontsevich's Model to $\cal W$-constraints
in 2-matrix Models | The Ward identities in Kontsevich-like 1-matrix models are used to prove at
the level of discrete matrix models the suggestion of Gava and Narain, which
relates the degree of potential in asymmetric 2-matrix model to the form of
$\cal W$-constraints imposed on its partition function. | 1992-01-08 | 2014-11-18 | [
"hep-th"
] | A.Marshakov, A.Mironov and A.Morozov |
hep-th/9201012 | The Asymptotics of the Correlations Functions in $(1+1)d$ Quantum Field
Theory From Finite Size Effects in Conformal Theories | Using the finite-size effects the scaling dimensions and correlation
functions of the main operators in continuous and lattice models of 1d spinless
Bose-gas with pairwise interaction of rather general form are obtained. The
long-wave properties of these systems can be described by the Gaussian model
with central charg... | 1992-01-08 | 2015-06-26 | [
"hep-th"
] | A.Mironov and A.Zabrodin |
hep-th/9201013 | Towards unified theory of $2d$ gravity | We introduce a new 1-matrix model with arbitrary potential and the
matrix-valued background field. Its partition function is a $\tau$-function of
KP-hierarchy, subjected to a kind of ${\cal L}_{-1}$-constraint. Moreover,
partition function behaves smoothly in the limit of infinitely large matrices.
If the potential is ... | 1992-01-08 | 2011-05-05 | [
"hep-th"
] | S.Kharchev, A.Marshakov, A.Mironov, A.Morozov and A.Zabrodin |
hep-th/9201011 | On Equivalence of Topological and Quantum 2d Gravity | We demonstrate the equivalence of Virasoro constraints imposed on continuum
limit of partition function of Hermitean 1-matrix model and the Ward identities
of Kontsevich's model. Since the first model describes ordinary $d = 2$ quantum
gravity, while the second one is supposed to coincide with Witten's topological
grav... | 1992-01-08 | 2009-10-22 | [
"hep-th"
] | A.Marshakov, A.Mironov and A.Morozov |
hep-th/9201009 | Large-Small Equivalence in String Theory | The simplest toroidally compactified string theories exhibit a duality
between large and small radii: compactification on a circle, for example, is
invariant under R goes to 1/R. Compactification on more general Lorentzian
lattices (i.e. toroidal compactification in the presence of background metric,
antisymmetric tens... | 1992-01-08 | 2010-11-01 | [
"hep-th"
] | Eva Silverstein |
hep-th/9201015 | An Algorithm to Generate Classical Solutions for String Effective Action | It is shown explicitly, that a number of solutions for the background field
equations of the string effective action in space-time dimension D can be
generated from any known lower dimensional solution, when background fields
have only time dependence. An application of the result to the two dimensional
charged black h... | 1992-01-07 | 2009-10-22 | [
"hep-th"
] | S. Kar, S. Khastgir and A. Kumar |
hep-th/9201008 | Coulomb Gas Representations and Screening Operators of the N=4
Superconformal Algebras | The Coulomb gas representations are presented for the ${\rm
SU(2)}$$_k$-extended $N$=4 superconformal algebras, incorporating the
Feigin-Fuchs representation of the\break ${\rm SU(2)}$$_k$ Kac-Moody algebra
with {\sl arbitrary} level $k$. Then the long-standing problem of identifying
the whole set of charge-screening o... | 1992-01-07 | 2009-10-22 | [
"hep-th"
] | Satoshi Matsuda |
hep-th/9201007 | Static Domain Walls in N=1 Supergravity | We study supersymmetric domain walls in N=1 supergravity theories, including
those with modular-invariant superpotentials arising in superstring
compactifications. Such domain walls are shown to saturate the Bogomol'nyi
bound of wall energy per unit area. We find \sl static \rm and \sl reflection
asymmetric \rm domain ... | 1992-01-06 | 2009-09-17 | [
"hep-th"
] | Mirjam Cvetic, Stephen Griffies, Soo-Jong Rey |
hep-th/9201006 | On Symmetries of Some Massless 2D Field Theories | We describe few aspects of the quantum symmetries of some massless
two-dimensional field theories. We discuss their relations with recent
proposals for the factorized scattering theories of the massless $PCM_1$ and
$O(3)_{\theta=\pi}$ sigma models. We use these symmetries to propose massless
factorized S-matrices for t... | 1992-01-06 | 2008-11-26 | [
"hep-th"
] | Denis Bernard |
hep-th/9201005 | Ward Identities in Two-Dimensional String Theory | I study the Ward identities of the $w_\infty$ symmetry of the two-dimensional
string theory. It is found that, not just an isolated vertex operator, but also
a number of vertex operators colliding at a point can produce local charge
non-conservation. The structure of all such contact terms is determined. As an
applicat... | 1992-01-03 | 2009-10-22 | [
"hep-th"
] | Igor R. Klebanov |
hep-th/9201004 | The Heterotic Green-Schwarz Superstring on an N=(2,0) Super-Worldsheet | By defining the heterotic Green-Schwarz superstring action on an N=(2,0)
super-worldsheet, rather than on an ordinary worldsheet, many problems with the
interacting Green-Schwarz superstring formalism can be solved. In the
light-cone approach, superconformally transforming the light-cone
super-worldsheet onto an N=(2,0... | 1992-01-03 | 2009-10-22 | [
"hep-th"
] | Nathan Berkovits |
hep-th/9201002 | Inomogeneous Quantum Groups as Symmetries of Phonons | The quantum deformed (1+1) Poincare' algebra is shown to be the kinematical
symmetry of the harmonic chain, whose spacing is given by the deformation
parameter. Phonons with their symmetries as well as multiphonon processes are
derived from the quantum group structure. Inhomogeneous quantum groups are thus
proposed as ... | 1992-01-02 | 2009-10-22 | [
"hep-th"
] | F.Bonechi, E.Celeghini, R.Giachetti, E.Sorace and M.Tarlini |
hep-th/9201003 | Intersection Theory, Integrable Hierarchies and Topological Field Theory | In these lecture notes we review the various relations between intersection
theory on the moduli space of Riemann surfaces, integrable hierarchies of KdV
type, matrix models, and topological quantum field theories. We explain in
particular why matrix integrals of the type considered by Kontsevich naturally
appear as ta... | 1992-01-02 | 2007-05-23 | [
"hep-th"
] | Robbert Dijkgraaf |
hep-th/9212156 | Interaction of d=2 c=1 Discrete States from String Field Theory | Starting from string field theory for 2d gravity coupled to c=1 matter we
analyze the off-shell tree amplitudes of discrete states. The amplitudes
exhibit the pole structure and we use the off-shell calculus to extract the
residues and prove that just the residues are constrained by the Ward
Identities. The residues ge... | 1992-01-01 | 2015-06-26 | [
"hep-th"
] | I.Ya.Aref'eva, P.B.Medvedev and A.P.Zubarev |
math/9204230 | A theory of algebraic cocycles | We introduce the notion of an algebraic cocycle as the algebraic analogue of
a map to an Eilenberg-MacLane space. Using these cocycles we develop a
``cohomology theory" for complex algebraic varieties. The theory is bigraded,
functorial, and admits Gysin maps. It carries a natural cup product and a
pairing to $L$-homol... | 1992-04-01 | 2016-09-06 | [
"math.AG"
] | Eric M. Friedlander, H. Blaine Lawson Jr. |
math/9204225 | Higgs line bundles, Green-Lazarsfeld sets,and maps of K\"ahler manifolds
to curves | Let $X$ be a compact K\"ahler manifold. The set $\cha(X)$ of one-dimensional
complex valued characters of the fundamental group of $X$ forms an algebraic
group. Consider the subset of $\cha(X)$ consisting of those characters for
which the corresponding local system has nontrivial cohomology in a given
degree $d$. This ... | 1992-04-01 | 2009-09-25 | [
"math.AG"
] | Donu Arapura |
math/9210226 | Smooth static solutions of the Einstein-Yang/Mills equation | We consider the Einstein/Yang-Mills equations in $3+1$ space time dimensions
with $\SU(2)$ gauge group and prove rigorously the existence of a globally
defined smooth static solution. We show that the associated Einstein metric is
asymptotically flat and the total mass is finite. Thus, for non-abelian gauge
fields the ... | 1992-10-01 | 2015-06-26 | [
"math.AP"
] | Joel Smoller, Arthur G. Wasserman, Shing-Tung Yau, J. Bryce McLeod |
math/9210215 | New types of soliton solutions | We announce a detailed investigation of limits of N-soliton solutions of the
Korteweg-deVries (KdV) equation as $N$ tends to infinity. Our main results
provide new classes of KdV-solutions including in particular new types of
soliton-like (reflectionless) solutions. As a byproduct we solve an inverse
spectral problem f... | 1992-10-01 | 2016-09-06 | [
"math.AP",
"math.SP"
] | Fritz Gesztesy, Witold Karwowski, Zhong Xin Zhao |
math/9207212 | user's guide to viscosity solutions of second order partial differential
equations | The notion of viscosity solutions of scalar fully nonlinear partial
differential equations of second order provides a framework in which startling
comparison and uniqueness theorems, existence theorems, and theorems about
continuous dependence may now be proved by very efficient and striking
arguments. The range of imp... | 1992-07-01 | 2008-02-03 | [
"math.AP"
] | Michael G. Crandall, Hitoshi Ishii, Pierre-Louis Lions |
math/9204239 | A sharp pointwise bound for functions with $L^2$-Laplacians on arbitrary
domains and its applications | For all functions on an arbitrary open set $\Omega\subset\R^3$ with zero
boundary values, we prove the optimal bound \[ \sup_{\Omega}|u| \leq
(2\pi)^{-1/2} \left(\int_{\Omega}|\nabla u|^2 \,dx\, \int_{\Omega}|\Delta u|^2
\,dx\right)^{1/4}. \] The method of proof is elementary and admits
generalizations. The inequality ... | 1992-04-01 | 2008-02-03 | [
"math.AP"
] | Wenzheng Xie |
math/9201268 | Semilinear wave equations | We survey existence and regularity results for semi-linear wave equations. In
particular, we review the recent regularity results for the $u^5$-Klein Gordon
equation by Grillakis and this author and give a self-contained, slightly
simplified proof. | 1992-01-01 | 2016-09-06 | [
"math.AP"
] | Michael Struwe |
math/9201261 | A steepest descent method for oscillatory Riemann-Hilbert problems | In this announcement we present a general and new approach to analyzing the
asymptotics of oscillatory Riemann-Hilbert problems. Such problems arise, in
particular, in evaluating the long-time behavior of nonlinear wave equations
solvable by the inverse scattering method. We will restrict ourselves here
exclusively to ... | 1992-01-01 | 2016-09-06 | [
"math.AP"
] | Percy Deift, Xin Zhou |
math/9201260 | Some non-analytic-hypoelliptic sums of squares of vector fields | Certain second-order partial differential operators, which are expressed as
sums of squares of real-analytic vector fields in $\Bbb R^3$ and which are well
known to be $C^\infty$ hypoelliptic, fail to be analytic hypoelliptic. | 1992-01-01 | 2016-09-06 | [
"math.AP"
] | Michael Christ |
math/9207217 | A Classification of the Stable Type of $BG$ | We give a classification of the $p$--local stable homotopy type of $BG$,
where $G$ is a finite group, in purely algebraic terms. $BG$ is determined by
conjugacy classes of homomorphisms from $p$--groups into $G$. This
classification greatly simplifies if $G$ has a normal Sylow $p$--subgroup; the
stable homotopy types t... | 1992-07-01 | 2008-02-03 | [
"math.AT",
"math.GR"
] | John Martino, Stewart Priddy |
math/9204231 | A combinatorial formula for the Pontrjagin classes | A combinatorial formula for the Pontrjagin classes of a triangulated manifold
is given. The main ingredients are oriented matroid theory and a modified
formulation of Chern-Weil theory. | 1992-04-01 | 2016-09-06 | [
"math.AT",
"math.GT"
] | Israel M. Gelfand, Robert D. MacPherson |
math/9207222 | Johann Faulhaber and sums of powers | Early 17th-century mathematical publications of Johann Faulhaber contain some
remarkable theorems, such as the fact that the $r$-fold summation of
$1^m,2^m,...,n^m$ is a polynomial in $n(n+r)$ when $m$ is a positive odd
number. The present paper explores a computation-based approach by which
Faulhaber may well have dis... | 1992-07-27 | 2015-06-26 | [
"math.CA"
] | Donald E. Knuth |
math/9207221 | Convolution polynomials | The polynomials that arise as coefficients when a power series is raised to
the power $x$ include many important special cases, which have surprising
properties that are not widely known. This paper explains how to recognize and
use such properties, and it closes with a general result about approximating
such polynomia... | 1992-07-01 | 2008-02-03 | [
"math.CA"
] | Donald E. Knuth |
math/9204236 | The $\bal$\ and $\bcl$\ Bailey Transform and Lemma | We announce a higher-dimensional generalization of the Bailey Transform,
Bailey Lemma, and iterative ``Bailey chain'' concept in the setting of basic
hypergeometric series very well-poised on unitary $A_{\ell}$ or symplectic
$C_{\ell}$ groups. The classical case, corresponding to $A_1$ or equivalently
$\roman U(2)$, co... | 1992-04-01 | 2008-02-03 | [
"math.CA"
] | Stephen C. Milne, Glenn M. Lilly |
math/9207218 | Rational function certification of multisum/integral/``$q$'' identities | The method of rational function certification for proving terminating
hypergeometric identities is extended from single sums or integrals to
multi-integral/sums and ``$q$'' integral/sums. | 1992-07-01 | 2009-09-25 | [
"math.CO",
"math.CA"
] | Herbert S. Wilf, Doron Zeilberger |
math/9206203 | A Short Proof of Jacobi's Formula for the Number of Representations of
an Integer as a Sum of Four Squares | A short and elementary proof, and a finite-form generalization, are given of
Jacobi's formula for the number of ways of writing an integer as a sum of four
squares (that implies Lagrange's famous 1777 theorem.) | 1992-06-03 | 2008-02-03 | [
"math.CO"
] | George Andrews (Pennsylvania State University), Shalsoh B. Ekhad
(Temple University), and Doron Zeilberger (Temple University) |
math/9210201 | Rad\'o theorem and its generalization for CR-mappings | The following theorem is proved:
Let M be a locally Lipschitz hypersurface in C^n with one-sided extension
property at each point (e.g., without analytic discs). Let S be a closed subset
of M and f : M \ S ---> C^m \ E is a CR-mapping of class L^{\infty} such that
the cluster set of f on S along of Lebesque points of... | 1992-11-21 | 2016-09-06 | [
"math.CV"
] | E.M.Chirka |
math/9210225 | Is the boundary of a Siegel disk a Jordan curve? | Bounded irreducible local Siegel disks include classical Siegel disks of
polynomials, bounded irreducible Siegel disks of rational and entire functions,
and the examples of Herman and Moeckel. We show that there are only two
possibilities for the structure of the boundary of such a disk: either the
boundary admits a ni... | 1992-10-01 | 2016-09-06 | [
"math.CV",
"math.GN"
] | James T. Rogers Jr. |
math/9207202 | Sequences of analytic disks | The subject considered in this paper has, at least, three points of interest.
Suppose that we have a sequence of one-dimensional analytic varieties in a
domain in $\Bbb C^n$. The cluster of this sequence consists from all points in
the domains such that every neighbourhood of such points intersects with
infinitely many... | 1992-07-10 | 2009-09-25 | [
"math.CV"
] | Evgeny A. Poletsky |
math/9207201 | Holomorphic curvature of Finsler metrics and complex geodesics | In his famous 1981 paper, Lempert proved that given a point in a strongly
convex domain the complex geodesics (i.e., the extremal disks) for the
Kobayashi metric passing through that point provide a very useful fibration of
the domain. In this paper we address the question whether, given a smooth
complex Finsler metric... | 1992-07-10 | 2009-09-25 | [
"math.CV"
] | Marco Abate and Giorgio Patrizio |
math/9207214 | A counterexample to the Arakelyan Conjecture | A ``self--similar'' example is constructed that shows that a conjecture of N.
U. Arakelyan on the order of decrease of deficiencies of an entire function of
finite order is not true. | 1992-07-01 | 2016-09-06 | [
"math.CV"
] | Alexandre Er\"emenko |
math/9207216 | The Green function of Teichm\"uller spaces with applications | We describe briefly a new approach to some problems related to Teichm\"uller
spaces, invariant metrics, and extremal quasiconformal maps. This approach is
based on the properties of plurisubharmonic functions, especially of the
plurisubharmonic Green function. The main theorem gives an explicit
representation of the Gr... | 1992-07-01 | 2008-02-03 | [
"math.CV"
] | Samuel L. Krushkal |
math/9204201 | Zero sets of some classes of entire functions | A method of constructing an entire function with given zeros and estimates of
growth is suggested. It gives a possibility to describe zero sets of certain
classes of entire functions of one and several variables in terms of growth of
volume of these sets in certain polycylinders. | 1992-04-22 | 2009-09-25 | [
"math.CV"
] | Alexander Russakovskii |
math/9204238 | Density theorems for sampling and interpolation in the Bargmann-Fock
space | We give a complete description of sampling and interpolation in the
Bargmann-Fock space, based on a density concept of Beurling. Roughly speaking,
a discrete set is a set of sampling if and only if its density in every part of
the plane is strictly larger than that of the von Neumann lattice, and
similarly, a discrete ... | 1992-04-01 | 2016-09-06 | [
"math.CV",
"math.FA"
] | Kristian Seip |
math/9204232 | Analytic varieties versus integral varieties of Lie algebras of vector
fields | We associate to any germ of an analytic variety a Lie algebra of tangent
vector fields, the {\it tangent algebra}. Conversely, to any Lie algebra of
vector fields an analytic germ can be associated, the {\it integral variety}.
The paper investigates properties of this correspondence: The set of all
tangent algebras is ... | 1992-04-01 | 2016-09-06 | [
"math.CV"
] | Herwig Hauser, Gerd Muller |
math/9204224 | A general correspondence between Dirichlet forms and right processes | The theory of Dirichlet forms as originated by Beurling-Deny and developed
particularly by Fukushima and Silverstein, is a natural functional analytic
extension of classical (and axiomatic) potential theory. Although some parts of
it have abstract measure theoretic versions, the basic general construction of
a Hunt pro... | 1992-04-01 | 2016-09-06 | [
"math.CV",
"math.PR"
] | Sergio Albeverio, Zhi-Ming Ma |
math/9204237 | A period mapping in universal Teichm\"uller space | In previous work it had been shown that the remarkable homogeneous space $M=
\operatorname{Diff}(S^1)/\operatorname{PSL} (2,\Bbb{R})$ sits as a complex
analytic and K\"ahler submanifold of the Universal Teichm\"uller Space. There
is a natural immersion $\Pi$ of $M$ into the infinite-dimensional version (due
to Segal) o... | 1992-04-01 | 2016-09-06 | [
"math.CV",
"math.DG"
] | Subhashis Nag |
math/9203201 | Domains in $\cx {n+1}$ with Noncompact Automorphism Group. II | No abstract available. | 1992-03-08 | 2008-02-03 | [
"math.CV"
] | Eric Bedford and Sergey Pinchuk |
math/9202201 | Szeg\"o kernels for certain unbounded domains in $\Bbb C^2$ | No abstract available. | 1992-02-07 | 2009-09-25 | [
"math.CV"
] | Friedrich Haslinger |
math/9201201 | On the Removable Singularities for Meromorphic Mappings | If E is a nonempty closed subset of the locally finite Hausdorff
(2n-2)-measure on an n-dimensional complex manifold M and all points of E are
nonremovable for a meromorphic mapping of M \ E into a compact K\"ahler
manifold, then E is a pure (n-1)-dimensional complex analytic subset of M. | 1992-01-06 | 2008-02-03 | [
"math.CV"
] | E.M.Chirka |
math/9201267 | Lifting of cohomology and unobstructedness of certain holomorphic maps | Let $f$ be a holomorphic mapping between compact complex manifolds. We give a
criterion for $f$ to have {\it unobstructed deformations}, i.e. for the local
moduli space of $f$ to be smooth: this says, roughly speaking, that the group
of infinitesimal deformations of $f$, when viewed as a functor, itself
satisfies a nat... | 1992-01-01 | 2016-09-06 | [
"math.CV",
"math.AG"
] | Ziv Ran |
math/9210212 | Radon transform and curvature | We interpret the setting for a Radon transform as a submanifold of the space
of generalized functions, and compute its extrinsic curvature: it is the
Hessian composed with the Radon transform. | 1992-10-01 | 2012-05-30 | [
"math.DG",
"math.FA"
] | Peter W. Michor |
math/9210216 | Curvature, triameter, and beyond | In its most general form, the recognition problem in Riemannian geometry asks
for the identification of an unknown Riemannian manifold via measurements of
metric invariants on the manifold. We introduce a new infinite sequence of
invariants, the first term of which is the usual diameter, and illustrate the
role of thes... | 1992-10-01 | 2016-09-06 | [
"math.DG",
"math.MG"
] | Karsten Grove, Steen Markvorsen |
math/9210223 | Negatively Ricci curved manifolds | In this paper we announce the following result: ``Every manifold of dimension
$\ge3$ admits a complete negatively Ricci curved metric.'' Furthermore we
describe some sharper results and sketch proofs. | 1992-10-01 | 2016-09-06 | [
"math.DG",
"math.GT"
] | Joachim Lohkamp |
math/9209219 | Characteristic classes for $G$-structures | Let $G\subset GL(V)$ be a linear Lie group with Lie algebra $\frak g$ and let
$A(\frak g)^G$ be the subalgebra of $G$-invariant elements of the associative
supercommutative algebra $A(\frak g)= S(\frak g^*)\otimes \La(V^*)$. To any
$G$-structure $\pi:P\to M$ with a connection $\omega$ we associate a
homomorphism $\mu_\... | 1992-09-01 | 2016-09-06 | [
"math.DG"
] | Dimitri Alekseevsky, Peter W. Michor |
math/9207213 | A class of nonsymmetric harmonic Riemannian spaces | Certain solvable extensions of $H$-type groups provide noncompact
counterexamples to the so-called Lichnerowicz conjecture, which asserted that
``harmonic'' Riemannian spaces must be rank 1 symmetric spaces. | 1992-07-01 | 2009-09-25 | [
"math.DG",
"math.RT"
] | Ewa Damek, Fulvio Ricci |
math/9207211 | Generalizing the hyperbolic collar lemma | We discuss two generalizations of the collar lemma. The first is the stable
neighborhood theorem which says that a (not necessarily simple) closed geodesic
in a hyperbolic surface has a \lq\lq stable neighborhood\rq\rq whose width only
depends on the length of the geodesic. As an application, we show that there is
a lo... | 1992-07-01 | 2016-09-06 | [
"math.DG",
"math.GT"
] | Ara Basmajian |
math/9207215 | One cannot hear the shape of a drum | We use an extension of Sunada's theorem to construct a nonisometric pair of
isospectral simply connected domains in the Euclidean plane, thus answering
negatively Kac's question, ``can one hear the shape of a drum?'' In order to
construct simply connected examples, we exploit the observation that an
orbifold whose unde... | 1992-07-01 | 2008-02-03 | [
"math.DG"
] | Carolyn Gordon, David L. Webb, Scott Wolpert |
math/9204221 | Commutators of flows and fields | The well known formula $[X,Y]=\tfrac12\tfrac{\partial^2}{\partial t^2}|_0
(\Fl^Y_{-t}\o\Fl^X_{-t}\o\Fl^Y_t\o\Fl^X_t)$ for vector fields $X$, $Y$ is
generalized to arbitrary bracket expressions and arbitrary curves of local
diffeomorphisms. | 1992-04-01 | 2009-09-25 | [
"math.DG"
] | Markus Mauhart, Peter W. Michor |
math/9204223 | Geodesics on spaces of almost hermitian structures | A natural metric on the space of all almost hermitian structures on a given
manifold is investigated. | 1992-04-01 | 2008-02-03 | [
"math.DG"
] | Olga Gil-Medrano, Peter W. Michor |
math/9204226 | The Atiyah-Jones Conjecture | The purpose of this note is to announce our proof of the Atiyah-Jones
conjecture concerning the topology of the moduli spaces of based
SU(2)-instantons over S^4. Full details and proofs appear in our paper [BHMM1]. | 1992-04-01 | 2016-09-06 | [
"math.DG",
"math.AG"
] | Charles P. Boyer, Jacques Hurtubise, Benjamin M. Mann, R. James
Milgram |
math/9203202 | The relation between systems and associated bundles | It is shown that a strong system of vector fields on a fiber bundle in the
sense of [Modugno, M. Systems of connections and invariant lagrangians. In:
Differential geometric methods in theoretical physics, Proc. 15th Int. Conf.,
DGM, Clausthal/FRG 1986, 518-534 World Scientific Publishing Co. (1987)] is
induced from a ... | 1992-03-01 | 2016-09-06 | [
"math.DG"
] | Peter W. Michor |
math/9202206 | Aspects of the theory of infinite dimensional manifolds | The convenient setting for smooth mappings, holomorphic mappings, and real
analytic mappings in infinite dimension is sketched. Infinite dimensional
manifolds are discussed with special emphasis on smooth partitions of unity and
tangent vectors as derivations. Manifolds of mappings and diffeomorphisms are
treated. Fina... | 1992-02-01 | 2016-09-06 | [
"math.DG",
"math.FA"
] | Andreas Kriegl, Peter W. Michor |
math/9202208 | The action of the diffeomorphism group on the space of immersions | We study the action of the diffeomorphism group $\Diff(M)$ on the space of
proper immersions $\Imm_{\text{prop}}(M,N)$ by composition from the right. We
show that smooth transversal slices exist through each orbit, that the quotient
space is Hausdorff and is stratified into smooth manifolds, one for each
conjugacy clas... | 1992-02-01 | 2016-09-06 | [
"math.DG"
] | Vincente Cervera, Francisca Mascar\'o, Peter W. Michor |
math/9202207 | Graded derivations of the algebra of differential forms associated with
a connection | In the main part of this paper a connection is just a fiber projection onto a
(not necessarily integrable) distribution or sub vector bundle of the tangent
bundle. Here curvature is computed via the Froelicher-Nijenhuis bracket, and it
is complemented by cocurvature and the Bianchi identity still holds. In this
situati... | 1992-02-01 | 2016-09-06 | [
"math.DG"
] | Peter W. Michor |
math/9201259 | The Riemannian manifold of all Riemannian metrics | The space of all Riemannian metrics on a smooth second countable finite
dimensional manifold is itself a smooth manifold modeled on the space of
symmetric (0,2)-tensor fields with compact support. It carries a canonical
Riemannian metric which is invariant under the action of the diffeomorphism
group. We determine its ... | 1992-01-01 | 2008-02-03 | [
"math.DG",
"math.FA"
] | Olga Gil-Medrano, Peter W. Michor |
math/9201258 | Pseudoriemannian metrics on spaces of bilinear structures | The space of all non degenerate bilinear structures on a manifold $M$ carries
a one parameter family of pseudo Riemannian metrics. We determine the geodesic
equation, covariant derivative, curvature, and we solve the geodesic equation
explicitly. Each space of pseudo Riemannian metrics with fixed signature is a
geodesi... | 1992-01-01 | 2016-09-06 | [
"math.DG",
"math.FA"
] | Olga Gil-Medrano, Peter W. Michor, Martin Neuwirther |
math/9201255 | A cohomology for vector valued differential forms | A rather simple natural outer derivation of the graded Lie algebra of all
vector valued differential forms with the Fr\"olicher-Nijenhuis bracket turns
out to be a differential and gives rise to a cohomology of the manifold, which
is functorial under local diffeomorphisms. This cohomology is determined as the
direct pr... | 1992-01-01 | 2016-09-06 | [
"math.DG"
] | Peter W. Michor, Hubert Schicketanz |
math/9201270 | Nonunique tangent maps at isolated singularities of harmonic maps | Shoen and Uhlenbeck showed that ``tangent maps'' can be defined at singular
points of energy minimizing maps. Unfortunately these are not unique, even for
generic boundary conditions. Examples are discussed which have isolated
singularities with a continuum of distinct tangent maps. | 1992-01-01 | 2009-09-25 | [
"math.DG"
] | Brian White |
math/9212210 | Combinatorics, geometry and attractors of quasi-quadratic maps | The Milnor problem on one-dimensional attractors is solved for S-unimodal
maps with a non-degenerate critical point c. It provides us with a complete
understanding of the possible limit behavior for Lebesgue almost every point.
This theorem follows from a geometric study of the critical set $\omega(c)$ of
a "non-renorm... | 1992-12-06 | 2008-02-03 | [
"math.DS"
] | Mikhail Lyubich |
math/9211215 | Distortion results and invariant cantor sets of unimodal maps | A distortion theory is developed for $S-$unimodal maps. It will be used to
get some geometric understanding of invariant Cantor sets. In particular
attracting Cantor sets turn out to have Lebesgue measure zero. Furthermore the
ergodic behavior of $S-$unimodal maps is classified according to a distortion
property, calle... | 1992-11-17 | 2009-09-25 | [
"math.DS"
] | Marco Martens |
math/9210229 | Ergodicity in Hamiltonian systems | We discuss the Sinai method of proving ergodicity of a discontinuous
Hamiltonian system with (non-uniform) hyperbolic behavior. | 1992-10-29 | 2009-09-25 | [
"math.DS"
] | Carlangelo Liverani, Maciej P. Wojtkowski |
math/9210228 | Optical Hamiltonians and symplectic twist maps | This paper concentrates on optical Hamiltonian systems of $T*\T^n$, i.e.
those for which $\Hpp$ is a positive definite matrix, and their relationship
with symplectic twist maps. We present theorems of decomposition by symplectic
twist maps and existence of periodic orbits for these systems. The novelty of
these results... | 1992-10-10 | 2009-09-25 | [
"math.DS",
"math.SG"
] | Christopher Gol\'e |
math/9210217 | A shooting approach to the Lorenz equations | We announce and outline a proof of the existence of a homoclinic orbit of the
Lorenz equations. In addition, we develop a shooting technique and two key
conditions, which lead to the existence of a one-to-one correspondence between
a set of solutions and the set of all infinite sequences of 1's and 3's. | 1992-10-01 | 2016-09-06 | [
"math.DS"
] | Stuart P. Hastings, William C. Troy |
math/9209221 | Remarks on quadratic rational maps | This will is an expository description of quadratic rational maps. Sections 2
through 6 are concerned with the geometry and topology of such maps. Sections
7--10 survey of some topics from the dynamics of quadratic rational maps. There
are few proofs. Section 9 attempts to explore and picture moduli space by means
of c... | 1992-09-20 | 2016-09-06 | [
"math.DS"
] | John W. Milnor |
math/9209220 | Weak disks of Denjoy minimal sets | This paper investigates the existence of Denjoy minimal sets and, more
generally, strictly ergodic sets in the dynamics of iterated homeomorphisms. It
is shown that for the full two-shift, the collection of such invariant sets
with the weak topology contains topological balls of all finite dimensions. One
implication i... | 1992-09-01 | 2016-09-06 | [
"math.DS"
] | Philip Boyland |
math/9208204 | Hubbard forests | The theory of Hubbard trees provides an effective classification of
non-linear post-critically finite polynomial maps from \C to itself. This note
will extend this classification to the case of maps from a finite union of
copies of \C to itself. Maps which are post-critically finite and nowhere
linear will be character... | 1992-08-13 | 2009-09-25 | [
"math.DS"
] | Alfredo Poirier |
math/9207220 | Local connectivity of Julia sets: expository lectures | The following notes provide an introduction to recent work of Branner,
Hubbard and Yoccoz on the geometry of polynomial Julia sets. They are an
expanded version of lectures given in Stony Brook in Spring 1992. I am indebted
to help from the audience.
Section 1 describes unpublished work by J.-C. Yoccoz on local conne... | 1992-07-25 | 2016-09-06 | [
"math.DS"
] | John W. Milnor |
math/9207219 | Hyperbolicity is dense in the real quadratic family | It is shown that for non-hyperbolic real quadratic polynomials topological
and quasisymmetric conjugacy classes are the same. By quasiconformal rigidity,
each class has only one representative in the quadratic family, which proves
that hyperbolic maps are dense. | 1992-07-06 | 2009-09-25 | [
"math.DS"
] | Grzegorz Swiatek |
math/9206205 | Singular measures in circle dynamics | Critical circle homeomorphisms have an invariant measure totally singular
with respect to the Lebesgue measure. We prove that singularities of the
invariant measure are of Holder type. The Hausdorff dimension of the invariant
measure is less than 1 but greater than 0. | 1992-06-16 | 2009-10-22 | [
"math.DS"
] | Jacek Graczyk, Grzegorz Swiatek |
math/9205210 | Polynomial diffeomorphisms of C^2, IV: The measure of maximal entropy
and laminar currents | This paper concerns the dynamics of polynomial automorphisms of ${\bf C}^2$.
One can associate to such an automorphism two currents $\mu^\pm$ and the
equilibrium measure $\mu=\mu^+\wedge\mu^-$. In this paper we study some
geometric and dynamical properties of these objects. First, we characterize
$\mu$ as the unique me... | 1992-05-28 | 2016-09-06 | [
"math.DS"
] | Eric Bedford, Mikhail Lyubich, John Smillie |
math/9205209 | Problems in holomorphic dynamics | Contents:
1. Quasiconformal Surgery and Deformations: Ben Bielefeld, Questions in
quasiconformal surgery; Curt McMullen, Rational maps and Teichm\"uller space;
John Milnor, Thurston's algorithm without critical finiteness; Mary Rees, A
possible approach to a complex renormalization problem.
2. Geometry of Julia Set... | 1992-05-09 | 2016-09-06 | [
"math.DS",
"math.CV"
] | Ben Bielefeld (editor), Mikhail Lyubich (editor), Lennart Carleson,
Robert Devaney, Alexandre Eremenko, Curt McMullen, John Milnor, Feliks
Przytycki, Mary Rees, Scott Sutherland |
math/9204241 | Cantor sets in the line: scaling function and the smoothness of the
shift map | Consider $d$ disjoint closed subintervals of the unit interval and consider
an orientation preserving expanding map which maps each of these subintervals
to the whole unit interval. The set of points where all iterates of this
expanding map are defined is a Cantor set. Associated to the construction of
this Cantor set ... | 1992-04-20 | 2008-02-03 | [
"math.DS"
] | Feliks Przytycki, Folkert Tangerman |
math/9204240 | Dynamics of certain non-conformal semigroups | A semigroup generated by two dimensional $C^{1+\alpha}$ contracting maps is
considered. We call a such semigroup regular if the maximum $K$ of the
conformal dilatations of generators, the maximum $l$ of the norms of the
derivatives of generators and the smoothness $\alpha$ of the generators satisfy
a compatibility cond... | 1992-04-01 | 2016-09-06 | [
"math.DS"
] | Yunping Jiang |
math/9203203 | The Teichm\"uller space of the standard action of $SL(2,Z)$ on $T^2$ is
trivial | The group $SL(n,{\bf Z})$ acts linearly on $\R^n$, preserving the integer
lattice $\Z^{n} \subset \R^{n}$. The induced (left) action on the n-torus
$\T^{n} = \R^{n}/\Z^{n}$ will be referred to as the ``standard action''.
It has recently been shown that the standard action of $SL(n,\Z)$ on $\T^n$,
for $n \geq 3$, is b... | 1992-03-12 | 2016-09-06 | [
"math.DS"
] | Elise E. Cawley |
math/9202210 | Hyperbolic components in spaces of polynomial maps | We consider polynomial maps $f:\C\to\C$ of degree $d\ge 2$, or more generally
polynomial maps from a finite union of copies of $\C$ to itself which have
degree two or more on each copy. In any space $\p^{S}$ of suitably normalized
maps of this type, the post-critically bounded maps form a compact subset
$\cl^{S}$ calle... | 1992-02-22 | 2009-09-25 | [
"math.DS"
] | John W. Milnor, Alfredo Poirier |
math/9202209 | Scalings in circle maps III | Circle maps with a flat spot are studied which are differentiable, even on
the boundary of the flat spot. Estimates on the Lebesgue measure and the
Hausdorff dimension of the non-wandering set are obtained. Also, a sharp
transition is found from degenerate geometry similar to what was found earlier
for non-differentiab... | 1992-02-03 | 2016-09-06 | [
"math.DS"
] | Jacek Graczyk, Grzegorz Swiatek, Folkert Tangerman, J. J. P. Veerman |
math/9201300 | The existence of sigma-finite invariant measures, applications to real
one-dimensional dynamics | A general construction for $\sigma-$finite absolutely continuous invariant
measure will be presented. It will be shown that the local bounded distortion
of the Radon-Nykodym derivatives of $f^n_*(\lambda)$ will imply the existence
of a $\sigma-$finite invariant measure for the map $f$ which is absolutely
continuous wit... | 1992-01-15 | 2016-09-06 | [
"math.DS"
] | Marco Martens |
math/9212208 | Espace de Hilbert d'op\'erateurs et Interpolation complexe | Let $H$ be an infinite dimensional Hilbert space. We show that there exists a
subspace of $B(H)$ which is isometric to $\ell_2$ and completely isometric to
its antidual in the sense of the theory of operator spaces recently developed
by Blecher-Paulsen and Effros-Ruan. Moreover this space is unique up to a
complete iso... | 1992-12-09 | 2016-09-06 | [
"math.FA"
] | Gilles Pisier |
math/9212207 | Multipliers and lacunary sets in non-amenable groups | Let $G$ be a discrete group.
Let $\lambda : G \to B(\ell_2(G),\ell_2(G))$ be the left regular
representation. A function $\ph : G \to \comp$ is called a completely bounded
multiplier (= Herz-Schur multiplier) if the transformation defined on the
linear span $K(G)$ of $\{\lambda(x),x \in G\}$ by $$\sum_{x \in G} f(x)
... | 1992-12-09 | 2016-09-06 | [
"math.FA"
] | Gilles Pisier |
math/9212203 | Operators preserving orthogonality are isometries | Let $E$ be a real Banach space. For $x,y \in E,$ we follow R.James in saying
that $x$ is orthogonal to $y$ if $\|x+\alpha y\|\geq \|x\|$ for every $\alpha
\in R$. We prove that every operator from $E$ into itself preserving
orthogonality is an isometry multiplied by a constant. | 1992-12-04 | 2008-02-03 | [
"math.FA"
] | Alexander Koldobsky |
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