Results 1 to 10 of about 393,149 (150)

Poisson Geometry in Mathematics and Physics [PDF]

, 2008
We realize quantized anti de Sitter space black holes, building Connes spectral triples, similar to those used for quantized spheres but based on Universal Deformation Quantization Formulas (UDF) obtained from an oscillatory integral kernel on an appropriate symplectic symmetric space.
Bieliavsky, Pierre, Claessens, Laurent, Sternheimer, Daniel, Voglaire, Yannick   +3 more
openaire   +7 more sources

Preface of the Special Issue on Symplectic Geometry and Mathematical Physics [PDF]

Acta Mathematica Sinica, English Series
Huijun Fan, Xiaobo Liu, Gang Tian
openalex   +2 more sources

European Congress of Mathematics Stockholm, June 27 – July 2, 2004 [PDF]

, 2005
A comprehensive review will be given about the rich mathematical structure of mean field spin glass theory, mostly developed, until now, in the frame of the methods of theoretical physics, based on deep physical intuition and hints coming from numerical simulation.
ALBERTI, GIOVANNI, CSORNYEI M., PREISS D.   +2 more
openaire   +27 more sources

Lie Groupoids and Lie algebroids in physics and noncommutative geometry [PDF]

, 2005
The aim of this review paper is to explain the relevance of Lie groupoids and Lie algebroids to both physicists and noncommutative geometers. Groupoids generalize groups, spaces, group actions, and equivalence relations.
Atiyah, Blackadar, Bott, Bratteli, Connes, Connes, Connes, Courant, Crainic, Doplicher, Faith, Glimm, Glimm, Gotay, Gotay, Green, Guillemin, Guillemin, Guillemin, Haag, Haefliger, Higson, Hilsum, Huebschmann, Jeffrey, Krishnaprasad, Landsman, Landsman, Landsman, Landsman, Landsman, Landsman, Landsman, Macho Stadler, Mackenzie, Mackenzie, Mackey, Mackey, Marsden, Marsden, Meinrenken, Mikami, Mislin, Moerdijk, Muhly, N.P. Landsman, Nest, Nistor, Paterson, Pauli, Pedersen, Pedersen, Phillips, Primas, Renault, Rieffel, Rieffel, Rieffel, Schmüdgen, Sjamaar, Thirring, Tian, van Hove, von Neumann, von Neumann, Weinstein, Weinstein, Weinstein, Weinstein, Xu, Zakrzewski, Ørsted   +71 more
core   +2 more sources

Symplectic and Poisson geometry on b-manifolds [PDF]

, 2012
Let $M^{2n}$ be a Poisson manifold with Poisson bivector field $\Pi$. We say that $M$ is b-Poisson if the map $\Pi^n:M\to\Lambda^{2n}(TM)$ intersects the zero section transversally on a codimension one submanifold $Z\subset M$.
Ana Rita Pires, Cannas da Silva, Cavalcanti, Crainic, Crainic, Eliasson, Eliasson, Eva Miranda, Frejlich, Frejlich, Gotay, Gotay, Goto, Gualtieri, Guillemin, Guillemin, Kosmann-Schwarzbach, Mamaev, Marcut, Marcut, Martinez-Torres, Melrose, Miranda, Miranda, Nest, Radko, Scott, Swan, Victor Guillemin, Weinstein, Weinstein   +30 more
core   +3 more sources

Coarse geometry and its applications in solid state physics [PDF]

arXiv, 2023
In this article, we give an overview over recent developments in the mathematical treatment of topological insulators using coarse geometry.
arxiv  

The Gromov width of complex Grassmannians [PDF]

, 2005
We show that the Gromov width of the Grassmannian of complex k-planes in C^n is equal to one when the symplectic form is normalized so that it generates the integral cohomology in degree 2. We deduce the lower bound from more general results. For example,
Biran, Delzant, Koszul, McDuff, Siebert, Susan Tolman, Traynor, Yael Karshon   +7 more
core   +3 more sources

Singularities and Semistable Degenerations for Symplectic Topology [PDF]

, 2017
We overview our recent work defining and studying normal crossings varieties and subvarieties in symplectic topology. This work answers a question of Gromov on the feasibility of introducing singular (sub)varieties into symplectic topology in the case of
McLean, Mark, Tehrani, Mohammad Farajzadeh, Zinger, Aleksey   +2 more
core   +3 more sources

On the Relationship between Two Notions of Compatibility for Bi-Hamiltonian Systems [PDF]

, 2015
Bi-Hamiltonian structures are of great importance in the theory of integrable Hamiltonian systems. The notion of compatibility of symplectic structures is a key aspect of bi-Hamiltonian systems.
Santoprete, Manuele
core   +3 more sources

Lectures on Mirror Symmetry, Derived Categories, and D-branes [PDF]

, 2003
This paper is an introduction to Homological Mirror Symmetry, derived categories, and topological D-branes aimed mainly at a mathematical audience.
Kapustin, Anton, Orlov, Dmitri
core   +4 more sources