Name: lectures on the geometry of poisson manifolds (in English)
Price: 113.67 USD
Availability: InStock
Author: vaisman
ISBN: 9783764350161

portada lectures on the geometry of poisson manifolds (in English)

Type

Physical Book

Publisher

springer publishing map

Author

vaisman

Language

English

ISBN

3764350164

ISBN13

9783764350161

Synopsis "lectures on the geometry of poisson manifolds (in English)"

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 authors work, including new results on poisson cohomology and geometric quantization, cofoliations and biinvariant poisson structures on lie groups.