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Author: Giuseppe Dito
Publisher: American Mathematical Soc.
ISBN: 0821844237
Category : Mathematics
Languages : en
Pages : 330
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Book Description
This volume is a collection of articles by speakers at the Poisson 2006 conference. The program for Poisson 2006 was an overlap of topics that included deformation quantization, generalized complex structures, differentiable stacks, normal forms, and group-valued moment maps and reduction.
Author: Giuseppe Dito
Publisher: American Mathematical Soc.
ISBN: 0821844237
Category : Mathematics
Languages : en
Pages : 330
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Book Description
This volume is a collection of articles by speakers at the Poisson 2006 conference. The program for Poisson 2006 was an overlap of topics that included deformation quantization, generalized complex structures, differentiable stacks, normal forms, and group-valued moment maps and reduction.
Author: Mikhail Vladimirovich Karasev
Publisher: American Mathematical Soc.
ISBN: 9780821840405
Category : Computers
Languages : en
Pages : 296
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Book Description
Presents applications of Poisson geometry to some fundamental well-known problems in mathematical physics. This volume is suitable for graduate students and researchers interested in mathematical physics. It uses methods such as: unexpected algebras with non-Lie commutation relations, dynamical systems theory, and semiclassical asymptotics.
Author: Mikhail Vladimirovich Karasev
Publisher: American Mathematical Soc.
ISBN: 9780821811788
Category : Mathematics
Languages : en
Pages : 376
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Book Description
This volume copntains three extensive articles written by Karasev and his pupils. Topics covered include the following: coherent states and irreducible representations for algebras with non-Lie permutation relations, Hamilton dynamics and quantization over stable isotropic submanifolds, and infinitesimal tensor complexes over degenerate symplectic leaves in Poisson manifolds. The articles contain many examples (including from physics) and complete proofs.
Author: Jerrold E. Marsden
Publisher: Springer Science & Business Media
ISBN: 0817644199
Category : Mathematics
Languages : en
Pages : 666
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Book Description
* The invited papers in this volume are written in honor of Alan Weinstein, one of the world’s foremost geometers * Contributions cover a broad range of topics in symplectic and differential geometry, Lie theory, mechanics, and related fields * Intended for graduate students and working mathematicians, this text is a distillation of prominent research and an indication of future trends in geometry, mechanics, and mathematical physics
Author: Simone Gutt
Publisher: Cambridge University Press
ISBN: 9780521615051
Category : Mathematics
Languages : en
Pages : 380
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Book Description
An accessible introduction to Poisson geometry suitable for graduate students.
Author: Mikhail Vladimirovich Karasev
Publisher:
ISBN: 9781470434274
Category :
Languages : en
Pages :
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Book Description
This collection presents new and interesting applications of Poisson geometry to some fundamental well-known problems in mathematical physics. The methods used by the authors include, in addition to advanced Poisson geometry, unexpected algebras with non-Lie commutation relations, nontrivial (quantum) Kählerian structures of hypergeometric type, dynamical systems theory, semiclassical asymptotics, etc.
Author: O. I. Mokhov
Publisher:
ISBN: 9781904868729
Category : Mathematics
Languages : en
Pages : 224
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Book Description
This review presents the differential-geometric theory of homogeneous structures (mainly Poisson and symplectic structures)on loop spaces of smooth manifolds, their natural generalizations and applications in mathematical physics and field theory.
Author: Tohru Eguchi
Publisher: Cambridge University Press
ISBN: 1107056411
Category : Mathematics
Languages : en
Pages : 303
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Book Description
This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute.
Author: Izu Vaisman
Publisher: Birkhäuser
ISBN: 3034884958
Category : Mathematics
Languages : en
Pages : 210
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Book Description
This book is addressed to graduate students and researchers in the fields of mathematics and physics who are interested in mathematical and theoretical physics, differential geometry, mechanics, quantization theories and quantum physics, quantum groups etc., and who are familiar with differentiable and symplectic manifolds. The aim of the book is to provide the reader with a monograph that enables him to study systematically basic and advanced material on the recently developed theory of Poisson manifolds, and that also offers ready access to bibliographical references for the continuation of his study. Until now, most of this material was dispersed in research papers published in many journals and languages. The main subjects treated are the Schouten-Nijenhuis bracket; the generalized Frobenius theorem; the basics of Poisson manifolds; Poisson calculus and cohomology; quantization; Poisson morphisms and reduction; realizations of Poisson manifolds by symplectic manifolds and by symplectic groupoids and Poisson-Lie groups. The book unifies terminology and notation. It also reports on some original developments stemming from the author's work, including new results on Poisson cohomology and geometric quantization, cofoliations and biinvariant Poisson structures on Lie groups.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 317
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Book Description
