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 |
|---|---|---|---|---|---|---|
dg-ga/9508006 | Novikov type inequalities for differential forms with non-isolated zeros | 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.
The proof uses Bismut's modificat... | 1995-08-14 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Maxim Braverman and Michael Farber |
dg-ga/9508005 | Introduction to Seiberg-Witten's Invariants, Part I: Theory of Spinors | In 1994, Witten has defined a monopole invariant and he has shown the
equivalence of this invariant with Donaldson's polynomial using his result in
\( \SS \)-duality. This new invariant is very powerful because the gauge group
is abelian. By using such an invariant, many new results are found in the
smooth, K\"{a}hler ... | 1995-08-12 | 2016-08-31 | [
"dg-ga",
"alg-geom",
"hep-th",
"math.AG",
"math.DG"
] | Jan Vacter Yang (Chinese University of Hong Kong) |
dg-ga/9508004 | On isometric and minimal isometric embeddings | In this paper we study critial isometric and minimal isometric embeddings of
classes of Riemannian metrics which we call {\it quasi-$k$-curved metrics}.
Quasi-$k$-curved metrics generalize the metrics of space forms. We construct
explicit examples and prove results about existence and rigidity. | 1995-08-09 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Thomas Ivey and J.M. Landsberg |
dg-ga/9508003 | Quantization and Coherent States over Lagrangian Submanifolds | A membrane technique, in which the symplectic and Ricci forms are integrated
over surfaces in a complexification of the phase space, as well a ``creation"
connection with zero curvature over lagrangian submanifolds, is used to obtain
a unified quantization including a noncommutative algebra of functions, its
representa... | 1995-08-09 | 2008-02-03 | [
"dg-ga",
"math.DG",
"math.QA",
"q-alg",
"quant-ph"
] | Mikhail V. Karasev (Moscow Institute of Electronics and Mathematics) |
dg-ga/9508002 | Quantization of K\"ahler manifolds admitting $H$-projective mappings | We discuss the quantization of mechanical systems for which the Hamiltonian
vector fields of observables form the deformation of $n$-dimensional oscilator
algebra. Because of this fact these systems can be considered as "deformations"
of the harmonic oscillator. The set of abovementioned mechanical systems are
realized... | 1995-08-04 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | A.V.Aminova, D.A.Kalinin |
dg-ga/9508001 | On the $L^{n\over 2}$-norm of Scalar Curvature | Comparisons on $L^{n\over 2}$-norms of scalar curvatures between Riemannian
metrics and standard metrics are obtained. The metrics are restricted to
conformal classes or under certain curvature conditions. | 1995-08-03 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Man Chun Leung (National University of Singapore) |
dg-ga/9507005 | On a Full Quantization of the Torus | I exhibit a prequantization of the torus which is actually a ``full''
quantization in the sense that a certain complete set of classical observables
is irreducibly represented. Thus in this instance there is no Groenewold-Van
Hove obstruction to quantization. | 1995-07-31 | 2008-02-03 | [
"dg-ga",
"hep-th",
"math.DG",
"quant-ph"
] | Mark J. Gotay |
dg-ga/9507004 | Localisation of the Donaldson's invariants along Seiberg-Witten classes | This article is a first step in establishing a link between the Donaldson
polynomials and Seiberg-Witten invariants of a smooth 4-manifold. | 1995-07-24 | 2008-02-03 | [
"dg-ga",
"alg-geom",
"math.AG",
"math.DG"
] | Victor Pidstrigach and Andrei Tyurin |
dg-ga/9507003 | Cohomology of a Quaternionic Complex | We investigate the cohomology of a certain elliptic complex defined on a
compact quaternionic-K\"{a}hler manifold with negative scalar curvature. We
show that this particular complex is exact, with the possible exception of one
term. | 1995-07-18 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Robin Horan (University of Plymouth) |
dg-ga/9507002 | $Pin$-structures on surfaces and quadratic forms | A correspondence between different $Pin$-type structures on a compact surface
and quadratic (linear) forms on its homology is constructed. Addition of
structures is defined and expressed in terms of these quadratic forms. | 1995-07-10 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | A. Degtyarev and S. Finashin |
dg-ga/9507001 | Curved flats in symmetric spaces | In this paper we study maps (curved flats) into symmetric spaces which are
tangent at each point to a flat of the symmetric space. Important examples of
such maps arise from isometric immersions of space forms into space forms via
their Gauss maps. Further examples are found in conformal geometry, e.g. the
curved flats... | 1995-07-08 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Dirk Ferus and Franz Pedit |
dg-ga/9506011 | Generalized Weierstrass formulae, soliton equations and Willmore
surfaces. I. Tori of revolution and the mKdV equation | A new approach is proposed for study structure and properties of the total
squared mean curvature $W$ of surfaces in ${\bf R}^3$. It is based on the
generalized Weierstrass formulae for inducing surfaces. The quantity $W$
(Willmore functional) is shown to be invariant under the modified
Novikov--Veselov hierarchy of in... | 1995-06-29 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | B. G. Konopelchenko, I. A. Taimanov |
dg-ga/9506012 | Einstein Metrics on Complex Surfaces | We consider compact complex surfaces with Hermitian metrics which are
Einstein but not Kaehler. It is shown that the manifold must be CP2 blown up at
1,2, or 3 points, and the isometry group of the metric must contain a 2-torus.
Thus the Page metric on CP2#(-CP2) is almost the only metric of this type. | 1995-06-29 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Claude LeBrun |
dg-ga/9506010 | Volumes of Discrete Groups and Topological Complexity of Homology
Spheres | We address two fundamental and well-known problems of Gromov and Lyndon:
\demo{Problem A} (Gromov, see [5]). Consider a category $M_n$ of closed
manifolds of dimension $n$ with nonzero-degree ways as morphisms. Study a
partial order $M \ge N \Leftrightarrow Mor (M, N) \neq \phi$. For which $N$ the
degrees of maps $f:... | 1995-06-25 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Alexander Reznikov |
dg-ga/9506009 | Multiplicity-free Hamiltonian actions need not be K\"ahler | We show that Tolman's example (of a six dimensional Hamiltonian $T^2$-space
with isolated fixed points and no compatible K\"{a}hler structure) can be
constructed from the flag variety $U(3)/U(1)^3$ by $U(2)$-equivariant
symplectic surgery. This implies that Tolman's space has a ``transversal
multiplicity-free'' action ... | 1995-06-22 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Chris Woodward (M.I.T.) |
dg-ga/9506008 | The Centralizer of Invariant Functions and Division Properties of the
Moment Map | Let Phi : M --> g^* be a proper moment map associated to an action of a
compact connected Lie group, G, on a connected symplectic manifold, (M,\omega).
A collective function is a pullback via \Phi of a smooth function on g^*. In
this paper we present four new results about the relationship between the
collective functi... | 1995-06-15 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Eugene Lerman and Yael Karshon |
dg-ga/9506006 | Extended moduli spaces and the Kan construction.II.Lattice gauge theory | Let $Y$ be a CW-complex with a single 0-cell, $K$ its Kan group, a model for
the loop space of $Y$, and let $G$ be a compact, connected Lie group. We give
an explicit finite dimensional construction of generators of the equivariant
cohomology of the geometric realization of the cosimplicial manifold
$\roman{Hom}(K,G)$ ... | 1995-06-14 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Johannes Huebschmann (Max Planck I. f. Math) |
dg-ga/9506007 | Rokhlin Conjecture and Topology of Quotients of Complex Surfaces by
Complex Conjugation | Quotients $Y=X/conj$ of complex surfaces by anti-holomorphic involutions
$conj\: X\to X$ tend to be completely decomposable when they are simply
connected, i.e., split into connected sums, $n CP^2\#m\barCP2$, if
$w_2(Y)\ne0$, or into $n(S^2\times S^2)$ if $w_2(Y)=0$. If $X$ is a double
branched covering over $CP^2$, th... | 1995-06-14 | 2008-02-03 | [
"dg-ga",
"alg-geom",
"math.AG",
"math.DG"
] | Sergey Finashin |
dg-ga/9506005 | Adiabatic Limits and Spectral Geometry of Foliations | We study spectral asymptotics for the Laplace operator on differential forms
on a Riemannian foliated manifold equipped with a bundle-like metric in the
case when the metric is blown up in directions normal to the leaves of the
foliation. The asymptotical formula for the eigenvalue distribution function is
obtained. Th... | 1995-06-13 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Yuri A. Kordyukov |
dg-ga/9506004 | Integrable Gradient Flows and Morse Theory | Examples of Morse functions with integrable gradient flows on some classical
Riemannian manifolds are considered. In particular, we show that a generic
height function on the symmetric embeddings of classical Lie groups and certain
symmetric spaces is a perfect Morse function, i.e. has as many critical points
as the ho... | 1995-06-09 | 2021-09-01 | [
"dg-ga",
"math.DG"
] | I. A. Dynnikov, A. P. Veselov |
dg-ga/9506003 | The twistor transform of a Verlinde formula | The topology of the smooth moduli space of stable rank 2 bundles over a
Riemann surface of genus 3 is related to that of the real Grassmannian
Gr_4(R^8). | 1995-06-08 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | S.M. Salamon |
dg-ga/9506002 | Polarized 4-Manifolds, Extremal K\"ahler Metrics, and S-W Theory | Using Seiberg-Witten theory, it is shown that any Kaehler metric of constant
negative scalar curvature on a compact 4-manifold M minimizes the L^2-norm of
scalar curvature among Riemannian metrics compatible with a fixed decomposition
H^2(M)=(H^+) + (H^-). This implies, for example, that any such metric on a
minimal ru... | 1995-06-05 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Claude LeBrun |
dg-ga/9506001 | Fuchsian groups of the second kind and representations carried by the
limit set | We compute the cohomology of a Fuchsian group of the second kind with
coefficients in the hyperfunction vectors of the principal series
representations of $SL(2,R)$ supported on the limit set. | 1995-06-01 | 2009-10-28 | [
"dg-ga",
"math.DG"
] | U. Bunke and M. Olbrich |
dg-ga/9505007 | The Radius Rigidity Theorem for Manifolds of Positive Curvature | Recall that the radius of a compact metric space $(X, dist)$ is given by
$rad\ X = \min_{x\in X} \max_{y\in X} dist(x,y)$. In this paper we generalize
Berger's $\frac{1}{4}$-pinched rigidity theorem and show that a closed, simply
connected, Riemannian manifold with sectional curvature $\geq 1$ and radius
$\geq \frac{\p... | 1995-05-26 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Frederick Wilhelm |
dg-ga/9505006 | Constant mean curvature surfaces via integrable dynamical system | It is shown that the equation which describes constant mean curvature surface
via the generalized Weierstrass-Enneper inducing has Hamiltonian form. Its
simplest finite-dimensional reduction has two degrees of freedom, integrable
and its trajectories correspond to well-known Delaunay and do Carmo-Dajzcer
surfaces (i.e.... | 1995-05-26 | 2009-10-28 | [
"dg-ga",
"math.DG"
] | B. G. Konopelchenko, I. A. Taimanov |
dg-ga/9505005 | Extended moduli spaces and the Kan construction | Let $Y$ be a CW-complex with a single 0-cell, let $K$ be its Kan group, a
free simplicial group whose realization is a model for the space $\Omega Y$ of
based loops on $Y$, and let $G$ be a Lie group, not necessarily connected. By
means of simplicial techniques involving fundamental results of {\smc Kan's}
and the stan... | 1995-05-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Johannes Huebschmann (Max Planck I. f. Math) |
dg-ga/9505004 | Geometry of Lagrangian First-order Classical Field Theories | We construct a lagrangian geometric formulation for first-order field
theories using the canonical structures of first-order jet bundles, which are
taken as the phase spaces of the systems in consideration. First of all, we
construct all the geometric structures associated with a first-order jet bundle
and, using them,... | 1995-05-17 | 2016-04-11 | [
"dg-ga",
"hep-th",
"math.DG"
] | Arturo Echeverr\'ia-Enr\'iquez, Miguel C. Mu\~noz-Lecanda, Narciso
Rom\'an-Roy |
dg-ga/9505002 | Determinant Line Bundles Revisited | This is a note for the conference proceedings Topological and Geometrical
Problems related to Quantum Field Theory. We summarize our joint work with Dai
about eta invariants on manifolds with boundary. Then we apply these results to
prove the curvature and holonomy formulas for the natural connection on the
determinant... | 1995-05-15 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Daniel S. Freed |
dg-ga/9505003 | On Ribbon $R^4$'s | We consider ribbon $R^4$'s, that is, smooth open 4-manifolds, homeomorphic to
$R^4$ and associated to $h$-cobordisms between closed 4-manifolds. We show that
any generalized ribbon $R^4$ associated to a sequence of $h$-cobordisms between
non-diffeomorphic 4-manifolds is exotic. Notion of a positive ribbon $R^4$ is
defi... | 1995-05-12 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Zarko Bizaca |
dg-ga/9505001 | A Decomposition of Smooth Simply-connected h-Cobordant 4-Manifolds | We prove that any two smooth h-cobordant simply-connected 4-manifolds can be
obtained by taking two manifolds with boundary, one of which is contractible,
and gluing them along the boundary via two different attaching maps. | 1995-05-10 | 2008-02-03 | [
"dg-ga",
"math.DG",
"math.QA",
"q-alg"
] | R. Matveyev |
dg-ga/9504003 | Variational Aspects of the Seiberg-Witten Functional | The Seiberg-Witten equations that have recently found important applications
for four-dimensional geometry are the Euler-Lagrange equations for a functional
involving a connection $A$ on a line bundle $L$ and a section $\phi$ of another
bundle $W^+$ constructed from $L$ and a spinor bundle on a given
four-dimensional R... | 1995-04-28 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Juergen Jost, Xiaowei Peng and Guofang Wang |
dg-ga/9504002 | Symplectic Surgery and the Spin-C Dirac operator | Let $G$ be a compact connected Lie group, and $M$ a compact Hamiltonian
$G$-space, with moment map $J$. For each $G$-equivariant Hermitian vector
bundle $E$ over $M$, one has an associated twisted Spin-C Dirac operator, whose
equivariant index is a symplectic invariant of $E$. In the present paper, we
study gluing prop... | 1995-04-26 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Eckhard Meinrenken |
dg-ga/9504001 | Symplectic Approach of Wess-Zumino-Witten Model and Gauge Field Theories | A systematic description of the Wess-Zumino-Witten model is presented. The
symplectic method plays the major role in this paper and also gives the
relationship between the WZW model and the Chern-Simons model. The quantum
theory is obtained to give the projective representation of the Loop group. The
Gauss constraints ... | 1995-04-04 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Bai-Ling Wang |
dg-ga/9503016 | Symetric Monopoles | We discuss $SU(2)$ Bogomolny monopoles of arbitrary charge $k$ invariant
under various symmetry groups. The analysis is largely in terms of the spectral
curves, the rational maps, and the Nahm equations associated with monopoles. We
consider monopoles invariant under inversion in a plane, monopoles with cyclic
symmetry... | 1995-03-31 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | N.J. Hitchin, N.S. Manton, M.K. Murray |
dg-ga/9503015 | Projective structures on moduli spaces of compact complex hypersurfaces | It is shown that moduli spaces of complete families of compact complex
hypersurfaces in complex manifolds often come equipped canonically with
projective structures satisfying some natural integrability conditions. | 1995-03-30 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Sergey Merkulov and Henrik Pedersen |
dg-ga/9503013 | Fundamental Group of Self-Dual Four-Manifolds with Positive Scalar
Curvature | Main Theorem (3.3): Let $M$ be a compact four-dimensional manifold either
with curvature, positive on complex isotropic two-planes, or self-dual of
positive scalar curvature. If $\pi_1 (M)$ admits a nontrivial unitary
representation, and $M$ is orientable, then there exists a surjective
homomorphism from $\pi_1 (M)$ on... | 1995-03-28 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Alexander G. Reznikov |
dg-ga/9503014 | Eisenstein series and Scattering matrices | We provide a simple way to obtain the meromorphic extension of Eisenstein
series and Scattering matrices under conditions which generalize the case of
discrete groups acting convex cocompactly on hyperbolic spaces. | 1995-03-28 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Ulrich Bunke and Martin Olbrich |
dg-ga/9503011 | Analytic subsets of Hilbert spaces | We show that every complete metric space is homeomorphic to the precise locus
of zeros of an entire analytic map from a Hilbert space to a Banach space. As a
corollary, every complete separable metric space is homeomorphic to the precise
locus of zeros of an entire analytic map between two separable complex Hilbert
spa... | 1995-03-28 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Vladimir Pestov |
dg-ga/9503012 | Geometry of Kodaira moduli spaces | A general theorem on the existence of natural torsion-free affine connections
on a complete family of compact complex submanifolds in a complex manifold is
proved. Applications to twistor theory are discussed. | 1995-03-28 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Sergey A. Merkulov |
dg-ga/9503010 | Isometric Immersions of Space Forms and Soliton Theory | This paper studies isometric immersions of space forms by means of a
hierarchy of finite dimensional integrable systems in Lax form on loop
algebras. | 1995-03-24 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Dirk Ferus and Franz Pedit |
dg-ga/9503009 | The Ring of Invariants for Smooth Completions of Kac-Moody Lie Algebras | It is proved that the ring of invariants of the standard smooth completion of
a Kac-Moody Lie algebra is functionally generated by two elements: the
coefficient of the center and the Killing form. | 1995-03-23 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Ian Marshall and Tudor Ratiu |
dg-ga/9503008 | Homotopy and Homology Vanishing Theorems and the Stability of Stochastic
Flows | We relate stability properties (i.e. moment exponents) of a stochastic
dynamical system on a compact manifold $M$ to the homotopy and integral
homology groups of $M$. In the special case of gradient Brownian systems
associated to isometric immersions of $M$ in Euclidean space, these moment
exponents can be estimated in... | 1995-03-22 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | K.D. Elworthy, Steven Rosenberg |
dg-ga/9503007 | Characteristic Classes in Symplectic Topology | From the cohomological point of view the symplectomorphism group $Sympl (M)$
of a symplectic manifold is `` tamer'' than the diffeomorphism group. The
existence of invariant polynomials in the Lie algebra $\frak {sympl }(M)$, the
symplectic Chern-Weil theory, and the existence of Chern-Simons-type secondary
classes are... | 1995-03-16 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Alexander G. Reznikov |
dg-ga/9503006 | Witten-Helffer-Sjostrand Theory for a Generalized Morse Functions | In this paper, we extend the Witten-Helffer-Sj\"{o}strand theory from Morse
functions to generalized Morse functions. In this case, the spectrum of the
Witten deformed Laplacian $\Delta(t)$, for large t, can be seperated into the
small eigenvalues (which tend to 0 as $t\rightarrow\infty$), large and very
large eigenval... | 1995-03-14 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Hon-kit Wai (Ohio State University) |
dg-ga/9503005 | Secondary analytic indices | We define analytic indices which involve the eta form and the analytic
torsion form. We show that these indices are independent of the geometric
choices made in their definitions, and hence are topological in nature. | 1995-03-13 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | John Lott |
dg-ga/9503003 | Invariant operators on manifolds with almost Hermitian symmetric
structures, I. Invariant differentiation | This is the first part of a series of papers. The whole series aims to
develop the tools for the study of all almost Hermitian symmetric structures in
a unified way. In particular, methods for the construction of invariant
operators, their classification and the study of their properties will be
worked out. In this pap... | 1995-03-09 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Andreas Cap, Jan Slovak, Vladimir Soucek |
dg-ga/9503004 | Invariant operators on manifolds with almost Hermitian symmetric
structures, II. Normal Cartan connections | In the first part of this series of papers we developed the invariant
differentiation with respect to a Cartan connection, we described this
procedure in the terms of the underlying principal connections, and we
discussed applications of this theory to the construction of natural operators.
In this part we will extend ... | 1995-03-09 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Andreas Cap, Jan Slovak, Vladimir Soucek |
dg-ga/9503002 | Mayer-Vietoris Formula for Determinants of Elliptic Operators of
Laplace-Beltrami Type (after Burghelea, Friedlander and Kappeler) | The purpose of this note is to provide a short cut presentation of a
Mayer-Vietoris formula due to Burghelea-Friedlander-Kappeler for the
regularized determinant in the case of elliptic operators of Laplace Beltrami
type in the form typically needed in applications to torsion. | 1995-03-08 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Yoonweon Lee (Ohio State University) |
dg-ga/9503001 | Non-standard connections in classical mechanics | In the jet-bundle description of first-order classical field theories there
are some elements, such as the lagrangian energy and the construction of the
hamiltonian formalism, which require the prior choice of a connection. Bearing
these facts in mind, we analyze the situation in the jet-bundle description of
time-depe... | 1995-03-02 | 2016-04-11 | [
"dg-ga",
"hep-th",
"math.DG"
] | A. Echeverr\'ia-Enr\'iquez, M.C. Mu\~noz-Lecanda, N. Rom\'an-Roy
(DMAT-UPC) |
dg-ga/9502009 | On the number of geodesic segments connecting two points on manifolds of
non-positive curvature | In this paper we show that on a complete Riemannian manifold of negative
curvature and dimension $n>1$ every two points which realize a local maximum
for the distance function are connected by at least $2n+1$ geometrically
distinct geodesic segments (i.e. length minimizing). Using a similar method, we
obtain that in th... | 1995-02-28 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Paul Horja |
dg-ga/9502008 | A Groenewold-Van Hove Theorem for S^2 | We prove that there does not exist a nontrivial quantization of the Poisson
algebra of the symplectic manifold S^2 which is irreducible on the subalgebra
generated by the components {S_1,S_2,S_3} of the spin vector. We also show that
there does not exist such a quantization of the Poisson subalgebra P consisting
of pol... | 1995-02-23 | 2016-08-31 | [
"dg-ga",
"hep-th",
"math.DG",
"quant-ph"
] | Mark J. Gotay, Hendrik Grundling, C.A. Hurst |
dg-ga/9502007 | Coherent states and geodesics: cut locus and conjugate locus | The intimate relationship between coherent states and geodesics is pointed
out. For homogenous manifolds on which the exponential from the Lie algebra to
the Lie group equals the geodesic exponential, and in particular for symmetric
spaces, it is proved that the cut locus of the point $0$ is equal to the set of
coheren... | 1995-02-22 | 2009-10-28 | [
"dg-ga",
"math.DG"
] | Stefan Berceanu |
dg-ga/9502006 | Twistor theory, complex homogeneous manifolds and $G$-structures | It is shown that any irreducible analytic 1-flat $G$-structure as well as any
analytic torsion-free affine connection with irreducibly acting holonomy group
can, in principle, be contstructed by twistor methods. | 1995-02-16 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Sergey A. Merkulov |
dg-ga/9502005 | Cohomology of Kaehler manifolds with c_1=0 | A linear constraint is given on the Betti numbers of a compact hyper-Kaehler
manifold, using an index formula for c_1c_{n-1} on an almost complex manifold.
The topology of some other manifolds with reduced holonomy is also discussed
briefly. | 1995-02-14 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | S.M. Salamon |
dg-ga/9502004 | Torus bundles and the group cohomology of GL(N,Z) | We prove the vanishing of a certain characteristic class of flat vector
bundles when the structure groups of the bundles are contained in GL(N,Z). We
do so by explicitly writing the characteristic class as an exact form on the
base of the bundle. | 1995-02-10 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Jean-Michel Bismut and John Lott |
dg-ga/9502002 | The inverse Penrose transform on Riemannian twistor spaces | With respect to the Dirac operator and the conformally invariant Laplacian,
an explicit description of the inverse Penrose transform on Riemannian twistor
spaces is given. A Dolbeault representative of cohomology on the twistor space
is constructed from a solution of the field equation on the base manifold. | 1995-02-05 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Yoshinari Inoue |
dg-ga/9502003 | K\"ahlerian Killing Spinors, Complex Contact Structures and Twistor
Spaces | We collect our recent results ([5] and [8]) and we get the equivalence of the
three notions of the title under some conditions. We then use this equivalence
in order to prove some consequences about Sasakian manifolds, complex almost
contact structures and complex k-contact structures. | 1995-02-05 | 2019-01-08 | [
"dg-ga",
"math.DG"
] | A. Moroianu and U. Semmelmann |
dg-ga/9502001 | Analytic and Reidemeister torsion for representations in finite type
Hilbert modules | For a closed Riemannian manifold we extend the definition of analytic and
Reidemeister torsion associated to an orthogonal representation of fundamental
group on a Hilbert module of finite type over a finite von Neumann algebra. If
the representation is of determinant class we prove, generalizing the
Cheeger-M\"uller t... | 1995-02-03 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | D.Burghelea (Ohio State University), L.Friedlander (University of
Arizona), T. Kappeler (Ohio State University), P. McDonald (Ohio State
University) |
dg-ga/9501006 | Simpson's Theory and Superrigidity of Complex Hyperbolic Lattices | We attack a conjecture of J. Rogawski: any cocompact lattice in $S U (2, 1)$
for which the ball quotient $X = B^2 / \Gamma$ satisfies $b_1 (X) = 0$ and
$H^{1, 1} (X) \cap H^2 (X, \bbq) \approx \bbq$ is arithmetic. We prove the
Archimedian suprerigidity for representation of $\Gamma$ is $S L (3, \bbc)$. | 1995-01-30 | 2008-02-03 | [
"dg-ga",
"math.DG"
] | Alexander Reznikov |
dg-ga/9501005 | Spaces of Geodesics: Products, Coverings, Connectedness | We continue our study of the space of geodesics of a manifold with linear
connection. We obtain sufficient conditions for a product to have a space of
geodesics which is a manifold. We investigate the relationship of the space of
geodesics of a covering manifold to that of the base space. We obtain
sufficient condition... | 1995-01-24 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | J.K. Beem, R.J. Low, and P.E. Parker |
dg-ga/9501004 | The Twistor correspondence of the Dolbeault complex over $\C^n$ | With respect to the Dolbeault complex over the flat manifold $\C^n$, an
explicit description of the inverse correspondence of the twistor
correspondence is given. | 1995-01-20 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Yoshinari Inoue |
dg-ga/9501003 | A Simple Geometric Representative for $\mu$ of a Point | For $SU(2)$ (or $SO(3)$) Donaldson theory on a 4-manifold $X$, we construct a
simple geometric representative for $\mu$ of a point. Let $p$ be a generic
point in $X$. Then the set $\{ [A] | F_A^-(p) $ is reducible $\}$, with
coefficient -1/4 and appropriate orientation, is our desired geometric
representative. | 1995-01-12 | 2018-07-11 | [
"dg-ga",
"math.DG"
] | Lorenzo Sadun |
dg-ga/9501002 | Products and relations in symplectic Floer homology | We give a construction of a version of the Gromov-Witten classes, Q: H_*(J)
-> HF_*(M) otimes ... otimes HF^*(M), within the context of symplectic Floer
(co)homology. In particular, this gives a functorial approach to products and
relations in symplectic Floer (co)homology. | 1995-01-08 | 2016-08-31 | [
"dg-ga",
"math.DG"
] | Marty Betz and Johan Rade |
dg-ga/9501001 | Exotic Holonomy on Moduli Spaces of Rational Curves | Bryant \cite{Br} proved the existence of torsion free connections with exotic
holonomy, i.e. with holonomy that does not occur on the classical list of
Berger \cite{Ber}. These connections occur on moduli spaces $\Y$ of rational
contact curves in a contact threefold $\W$. Therefore, they are naturally
contained in the ... | 1995-01-02 | 2016-08-15 | [
"dg-ga",
"math.DG"
] | Quo-Shin Chi and Lorenz J Schwachh\"ofer |
funct-an/9512004 | Minimal E_0-semigroups | It is known that every semigroup of normal completely positive maps of a von
Neumann can be ``dilated" in a particular way to an E_0-semigroup acting on a
larger von Neumann algebra. The E_0-semigroup is not uniquely determined by the
completely positive semigroup; however, it is unique (up to conjugacy) provided
that ... | 1995-12-20 | 2008-02-03 | [
"funct-an",
"math.OA"
] | William Arveson |
funct-an/9512003 | Noncommutative flows I: dynamical invariants | We show that a noncommutative dynamical system of the type that occurs in
quantum theory can often be associated with a dynamical principle; that is, an
infinitesimal structure that completely determines the dynamics. The nature of
these dynamical principles is similar to that of the second order differential
equations... | 1995-12-19 | 2008-02-03 | [
"funct-an",
"math.OA"
] | William Arveson |
funct-an/9512002 | Hidden $sl_2$-algebra of finite-difference equations | The connection between polynomial solutions of finite-difference equations
and finite-dimensional representations of the $sl_2$-algebra is established
(the talk given at the Wigner Symposium, Guadalajara, Mexico, August 1995, to
be published in the Proceedings) | 1995-12-14 | 2008-02-03 | [
"funct-an",
"hep-th",
"math.OA",
"math.QA",
"nlin.SI",
"q-alg",
"solv-int"
] | Yuri Smirnov and Alexander Turbiner |
funct-an/9512001 | Weakly coupled states on branching graphs | We consider a Schr\"odinger particle on a graph consisting of $\,N\,$ links
joined at a single point. Each link supports a real locally integrable
potential $\,V_j\,$; the self--adjointness is ensured by the $\,\delta\,$ type
boundary condition at the vertex. If all the links are semiinfinite and ideally
coupled, the p... | 1995-12-11 | 2009-10-28 | [
"funct-an",
"math-ph",
"math.FA",
"math.MP",
"math.QA",
"quant-ph"
] | Pavel Exner |
funct-an/9511003 | Partial actions of groups and actions of inverse semigroups | Given a group G, we construct, in a canonical way, an inverse semigroup S(G)
associated to G. The actions of S(G) are shown to be in one-to-one
correspondence with the partial actions of G, both in the case of actions on a
set, and that of actions as operators on a Hilbert space. In other words, G and
S(G) have the sam... | 1995-11-27 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Ruy Exel |
funct-an/9511002 | An obstruction for q-deformation of the convolution product | We consider two independent q-Gaussian random variables X and Y and a
function f chosen in such a way that f(X) and X have the same distribution. For
0 < q < 1 we find that at least the fourth moments of X + Y and f(X) + Y are
different. We conclude that no q-deformed convolution product can exist for
functions of inde... | 1995-11-24 | 2009-10-28 | [
"funct-an",
"math.OA",
"math.QA",
"q-alg"
] | Hans van Leeuwen, Hans Maassen |
funct-an/9511001 | Some estimates for the Banach space norms in the von Neumann algebras
associated with the Berezin's quantization of compact Riemann | Let $\G$ be any cocompact, discrete subgroup of $\pslr$. In this paper we
find estimates for the predual and the uniform Banach space norms in the von
Neumann algebras associated with the Berezin' s quantization of a compact
Riemann surface $\Bbb D/\G$. As a corollary, for large values of the
deformation parameter $1/h... | 1995-11-08 | 2008-02-03 | [
"funct-an",
"math.OA",
"math.QA",
"q-alg"
] | Florin Radulescu |
funct-an/9510006 | Some directional microlocal classes defined using wavelet transforms | In this short paper we discuss how the position - scale half-space of wavelet
analysis may be cut into different regions. We discuss conditions under which
they are independent in the sense that the T\"oplitz operators associated with
their characteristic functions commute modulo smoothing operators. This shall
be used... | 1995-10-19 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Matthias Holschneider (CPT CNRS Marseille, France) |
funct-an/9510005 | Invariant measures for unitary forms of Kac-Moody groups, Parts I-III | The purpose of this paper is to describe some conjectures and results on the
existence and uniqueness of invariant measures on formal completions of
Kac-Moody groups and associated homogeneous spaces. Existence is rigorously
established in all affine type cases. | 1995-10-09 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Doug Pickrell |
funct-an/9510001 | Virtual Extensions | A process of extending sets which can be used as foundation for an
alternative organization for Differential and Integral Calculus is presented. | 1995-10-04 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Sergio Ferreira Cortizo |
funct-an/9510003 | Virtual Calculus - Part II | A simultaneous extension of real numbers set and the class of real functions
is discussed. | 1995-10-04 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Sergio Ferreira Cortizo |
funct-an/9510004 | On Dirac's Delta Calculus | It is shown that theories already presented as rigorous mathematical
formalizations of widespread manipulations of Dirac's delta function are all
unsatisfactory, and a new alternative is proposed. | 1995-10-04 | 2008-02-03 | [
"funct-an",
"hep-th",
"math.FA",
"quant-ph"
] | Sergio Ferreira Cortizo |
funct-an/9510002 | Virtual Calculus - Part I | An alternative organization for Differential and Integral Calculus, based on
an extension of real numbers that include infinitesimal and infinite
quantities, is presented. Only Elementary Set Theory is used, without reference
to methods or results from Mathematical Logic. | 1995-10-04 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Sergio Ferreira Cortizo |
funct-an/9509003 | Representations for the Three-Body T-Matrix, Scattering Matrices and
Resolvent in Unphysical Energy Sheets | Explicit representations for the Faddeev components of the three-body
T-matrix continued analytically into unphysical sheets of the energy Riemann
surface are formulated. According to the representations, the T-matrix in
unphysical sheets is explicitly expressed in terms of its components taken in
the physical sheet on... | 1995-09-22 | 2008-02-03 | [
"funct-an",
"math.OA"
] | A. K. Motovilov (Dubna) |
funct-an/9509001 | Contact interactions on graph superlattices | We consider a quantum mechanical particle living on a graph and discuss the
behaviour of its wavefunction at graph vertices. In addition to the standard
(or delta type) boundary conditions with continuous wavefunctions, we
investigate two types of a singular coupling which are analogous to the delta'
interaction and it... | 1995-09-01 | 2009-09-25 | [
"funct-an",
"cond-mat",
"math.OA",
"quant-ph"
] | Pavel Exner |
funct-an/9509002 | A duality between Schroedinger operators on graphs and certain Jacobi
matrices | The known correspondence between the Kronig-Penney model and certain Jacobi
matrices is extended to a wide class of Schroedinger operators on graphs.
Examples include rectangular lattices with and without a magnetic field, or
comb-shaped graphs leading to a Maryland-type model. | 1995-09-01 | 2008-02-03 | [
"funct-an",
"math.OA",
"quant-ph"
] | Pavel Exner |
funct-an/9508002 | The General Analytic Solution of a Functional Equation of Addition Type | The general analytic solution to the functional equation $$ \phi_1(x+y)= { {
\biggl|\matrix{\phi_2(x)&\phi_2(y)\cr\phi_3(x)&\phi_3(y)\cr}\biggr|} \over {
\biggl|\matrix{\phi_4(x)&\phi_4(y)\cr\phi_5(x)&\phi_5(y)\cr}\biggr|} } $$ is
characterised. Up to the action of the symmetry group, this is described in
terms of Weie... | 1995-08-28 | 2008-02-03 | [
"funct-an",
"math.OA"
] | H. W. Braden, V. M. Buchstaber |
funct-an/9508001 | The classical limit of dynamics for spaces quantized by an action of
$R^d$ | We have previously shown how to construct a deformation quantization of any
locally compact space on which a vector group acts. Within this framework we
show here that, for a natural class of Hamiltonians, the quantum evolutions
will have the classical evolution as their classical limit. | 1995-08-01 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Marc A. Rieffel (UC Berkeley) |
funct-an/9507001 | Dynamical inverse problem of representation theory and noncommutative
geometry | Dynamical inverse problem of representation theory, which has its origin in a
classical paper of E.P.Wigner on a determination of commutation relations of
quantum mechanical quantities by the quantum dynamical equations, is
illustrated on the simplest examples. | 1995-07-10 | 2008-02-03 | [
"funct-an",
"math.OA",
"math.QA",
"q-alg"
] | Denis V. Juriev |
funct-an/9506010 | A Classification Theorem for Nuclear Purely Infinite Simple C*-Algebras | Starting from Kirchberg's theorems announced in 1994, namely O_2 tensor A is
isomorphic to O_2 for separable unital nuclear simple A and O_infinity tensor A
is isomorphic to A if in addition A is purely infinite, we prove that
KK-equivalence implies isomorphism for nonunital separable nuclear purely
infinite simple C*-... | 1995-07-01 | 2008-02-03 | [
"funct-an",
"math.OA"
] | N. Christopher Phillips |
funct-an/9506009 | A space of multipliers on L | Conditions for a function (number sequence) to be a multiplier on the space
of integrable functions on $\Bbb R$ ($\Bbb T$) are given. This generalizes
recent results of Giang and Moricz. | 1995-06-30 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Elijah Liflyand (Bar-Ilan University, Israel) |
funct-an/9506007 | C*-Algebras with the Approximate Positive Factorization Property | We say that a unital C*-algrebra A has the approximate positive factorization
property (APFP) if every element of A is a norm limit of products of positive
elements of A. (There is also a definition for the nonunital case.) T. Quinn
has recently shown that a unital AF algebra has the APFP if and only if it has
no finit... | 1995-06-28 | 2016-08-31 | [
"funct-an",
"math.OA"
] | Gerard J. Murphy and N. Christopher Phillips |
funct-an/9506008 | Approximate Unitary Equivalence of Homomorphisms from O_infinity | We prove that if two nonzero homomorphisms from the Cuntz algebra O_infinity
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_infinity is classifiable in the sense
of Rordam. ... | 1995-06-28 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Huaxin Lin and N. Christopher Phillips |
funct-an/9506006 | A Note on the Wodzicki Residue | In this note we explain the relationship of the Wodzicki residue of (certain
powers of) an elliptic differential operator $P$\ acting on sections of a
complex vector bundle $E$\ over a closed compact manifold $M$\ and the
asymptotic expansion of the trace of the corresponding heat operator $e^{-tP}$.
In the special cas... | 1995-06-23 | 2009-10-28 | [
"funct-an",
"math.OA"
] | Thomas Ackermann |
funct-an/9506005 | Continuous Fell Bundles Associated to Measurable Twisted Actions | Given a measurable twisted action of a second-countable, locally compact
group G on a separable C*-algebra A, we prove the existence of a topology on
AxG making it a continuous bundle, whose cross sectional C*-algebra is
isomorphic to the Busby--Smith--Packer--Raeburn crossed product. | 1995-06-21 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Ruy Exel and Marcelo Laca |
funct-an/9506003 | A remark on trace properties of K-cycles | In this paper we discuss trace properties of $d^+$-summable $K$-cycles
considered by A.Connes in [\rfr(Conn4)]. More precisely we give a proof of a
trace theorem on the algebra $\A$ of a $K$--cycle stated in [\rfr(Conn4)],
namely we show that a natural functional on $\A$ is a trace functional. Then we
discuss whether t... | 1995-06-14 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Fabio Cipriani (U. of Nottingham), Daniele Guido (U. Roma Tor
Vergata), Sergio Scarlatti (U. Roma Tor Vergata) |
funct-an/9506001 | On the C*-envelope of approximately finite-dimensional operator algebras | The C*-envelope of the limit algebra (or limit space) of a contractive
regular system of digraph algebras (or digraph spaces) is shown to be an
approximately finite C*-algebra and the direct system for the C*-envelope is
determined explicitly. | 1995-06-02 | 2008-02-03 | [
"funct-an",
"math.OA"
] | C. Laurie and S.C. Power |
funct-an/9505002 | Endomorphism Semigroups and Lightlike Translations | Borchers and Wiesbrock have demonstrated certain results concerning the
one-parameter semigroups of endomorphisms of von Neumann algebras that appear
as lightlike translations in the theory of algebras of local observables. These
results are abstracted and analyzed as essentially operator-theoretic. Criteria
are then d... | 1995-05-30 | 2009-10-28 | [
"funct-an",
"math.OA",
"math.QA",
"q-alg"
] | D. R. Davidson |
funct-an/9505001 | Isomorphisms of Hilbert C*-Modules and $*$-Isomorphisms of Related
Operator C*-Algebras | Let $\cal M$ be a Banach C*-module over a C*-algebra $A$ carrying two
$A$-valued inner products $< .,. >_1$, $<.,. >_2$ which induce equivalent to
the given one norms on $\cal M$. Then the appropriate unital C*-algebras of
adjointable bounded $A$-linear operators on the Hilbert $A$-modules $\{ {\cal
M}, < .,. >_1 \}$ a... | 1995-05-09 | 2025-05-08 | [
"funct-an",
"math.OA"
] | Michael Frank (Univ. Leipzig, Math. Inst., D-04109 Leipzig) |
funct-an/9504001 | Unconditional Integrability for Dual Actions | The dual action of a locally compact abelian group, in the context of
C*-algebraic bundles, is shown to satisfy an integrability property, similar to
Rieffel's proper actions. The tools developed include a generalization of
Bochner's integral as well as a Fourier inversion formula for operator valued
maps. | 1995-04-18 | 2008-02-03 | [
"funct-an",
"math.OA"
] | Ruy Exel |
funct-an/9503001 | Some Conditions for Existence and Integrability of the Fourier Transform | The Fourier transform is naturally defined for integrable functrions.
Otherwise, it should be stipulated in which sense the Fourier transform is
understood. We consider some class of radial and, generally saying,
nonintegrable functions. The Fourier transform is calculated as an improper
integral and the limit coincide... | 1995-03-22 | 2008-02-03 | [
"funct-an",
"math.FA"
] | Elijah Liflyand (Bar-Ilan University, Israel) |
funct-an/9502006 | The Riesz-Clifford Functional Calculus for Non-Commuting Operators and
Quantum Field Theory | We present a Riesz-like hyperholomorphic functional calculus for a set of
non-commuting operators based on the Clifford analysis. Applications to the
quantum field theory are described. Keywords: Functional calculus, Weyl
calculus, Riesz calculus, Clifford analysis, quantization, quantum field
theory. AMSMSC Primary:47... | 1995-02-25 | 2016-11-03 | [
"funct-an",
"hep-th",
"math.OA",
"quant-ph"
] | Vladimir V. Kisil, Enrique Ram\'irez de Arellano |
funct-an/9502005 | Impulsive Stabilization of Linear Delay Differential Equations | The paper is concerned with stabilization of a scalar delay differention
equation $$ {\dot x}(t) - \sum_{k=1}^m A_k(t)x[h_k(t)] = 0,~t\geq 0,~
x(\xi)=\varphi (\xi), \xi <0, $$ by introducing impulses in certain moments of
time $$ x(\tau_j) = B_j x(\tau_j -0), ~j=1,2, \dots ~. $$ Explicit stability
results are presented... | 1995-02-21 | 2008-02-03 | [
"funct-an",
"math.DS",
"math.FA"
] | L. Berezansky (Ben-Gurion University of the Negev, Israel) and E.
Braverman (Technion, Israel) |
funct-an/9502003 | Uniqueness theorem for unbounded domain | We prove in this paper the uniqueness theorem for a certain class of harmonic
functions defined in unbounded domain lying in a band. | 1995-02-15 | 2016-08-31 | [
"funct-an",
"math.FA"
] | Z.R.Ashurova and Y.I.Zhuraev |
funct-an/9502004 | On the discrete spectrum of non-analytic matrix-valued Friedrichs model | We have found the sufficient conditions for the spectrum of matrix-valued
Friedrichs model to be finite. | 1995-02-15 | 2016-08-31 | [
"funct-an",
"math.FA"
] | I.A.Ikramov and F.Sharipov |
funct-an/9502002 | Oscillation of a Linear Delay Impulsive Differential Equation | The main result of the paper is that the oscillation (non-oscillation) of the
impulsive delay differential equation $\dot {x}(t)+\sum_{k=1}^m
A_k(t)x[h_k(t)]=0,~~t\geq 0$, $x(\tau_j)=B_jx(\tau_j-0), \lim \tau_j = \infty$
is equivalent to the oscillation (non-oscillation) of the equation without
impulses $\dot {x}(t)=\s... | 1995-02-07 | 2008-02-03 | [
"funct-an",
"math.DS",
"math.FA"
] | L. Berezansky and E. Braverman |
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