Poisson Geometry In Mathematics And Physics
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Poisson Geometry in Mathematics and Physics
Author | : Giuseppe Dito,Jiang-Hua Lu,Yoshiaki Maeda |
Publsiher | : American Mathematical Soc. |
Total Pages | : 330 |
Release | : 2008 |
Genre | : Geometric quantization |
ISBN | : 9780821844236 |
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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.
Quantum Algebras and Poisson Geometry in Mathematical Physics
Author | : Mikhail Vladimirovich Karasev,Elena M. Novikova,Yurii Mikhailovich Vorobjev |
Publsiher | : American Mathematical Soc. |
Total Pages | : 296 |
Release | : 2005 |
Genre | : Computers |
ISBN | : 0821840401 |
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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.
Coherent Transform Quantization and Poisson Geometry
Author | : Mikhail Vladimirovich Karasev |
Publsiher | : American Mathematical Soc. |
Total Pages | : 376 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 0821811789 |
Download Coherent Transform Quantization and Poisson Geometry Book in PDF, Epub and Kindle
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.
The Breadth of Symplectic and Poisson Geometry
Author | : Jerrold E. Marsden,Tudor S. Ratiu |
Publsiher | : Springer Science & Business Media |
Total Pages | : 654 |
Release | : 2007-07-03 |
Genre | : Mathematics |
ISBN | : 9780817644192 |
Download The Breadth of Symplectic and Poisson Geometry Book in PDF, Epub and Kindle
* 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
Symplectic and Poisson Geometry on Loop Spaces of Smooth Manifolds and Integrable Equations
Author | : O. I. Mokhov |
Publsiher | : Unknown |
Total Pages | : 224 |
Release | : 2008-11 |
Genre | : Mathematics |
ISBN | : 190486872X |
Download Symplectic and Poisson Geometry on Loop Spaces of Smooth Manifolds and Integrable Equations Book in PDF, Epub and Kindle
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.
Symplectic Poisson and Noncommutative Geometry
Author | : Tohru Eguchi,Yakov Eliashberg,Yoshiaki Maeda |
Publsiher | : Cambridge University Press |
Total Pages | : 303 |
Release | : 2014-08-25 |
Genre | : Mathematics |
ISBN | : 9781107056411 |
Download Symplectic Poisson and Noncommutative Geometry Book in PDF, Epub and Kindle
This volume contains seven chapters based on lectures given by invited speakers at two May 2010 workshops held at the Mathematical Sciences Research Institute.
Lectures on the Geometry of Poisson Manifolds
Author | : Izu Vaisman |
Publsiher | : Birkhäuser |
Total Pages | : 210 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783034884952 |
Download Lectures on the Geometry of Poisson Manifolds Book in PDF, Epub and Kindle
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.
Quantum Algebras and Poisson Geometry in Mathematical Physics
![Quantum Algebras and Poisson Geometry in Mathematical Physics](https://youbookinc.com/wp-content/themes/mts_schema/cover.jpg)
Author | : Mikhail Vladimirovich Karasev |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2005 |
Genre | : Electronic Book |
ISBN | : 147043427X |
Download Quantum Algebras and Poisson Geometry in Mathematical Physics Book in PDF, Epub and Kindle
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.