Quantization Poisson Brackets And Beyond
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Quantization, Poisson Brackets and Beyond
Author: Theodore Voronov
language: en
Publisher: American Mathematical Soc.
Release Date: 2002
The papers in this volume are based on talks given at the 2001 Manchester Meeting of the London Mathematical Society, which was followed by an international workshop on Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics. Focus is on the topics suggested by the title: quantization in its various aspects, Poisson brackets and generalizations, and structures beyond'' this, including symplectic supermanifolds, operads, Lie groupoids and Lie (bi)algebroids, and algebras with $n$-ary operations. The book offers accounts of up-to-date results as well as accessible expositions aimed at a broad reading audience of researchers in differential geometry, algebraic topology and mathematical physics.
Poisson Geometry, Deformation Quantisation and Group Representations
Author: Simone Gutt
language: en
Publisher: Cambridge University Press
Release Date: 2005-06-21
An accessible introduction to Poisson geometry suitable for graduate students.
Geometric and Topological Methods for Quantum Field Theory
Author: Alexander Cardona
language: en
Publisher: Cambridge University Press
Release Date: 2013-05-09
A unique presentation of modern geometric methods in quantum field theory for researchers and graduate students in mathematics and physics.