Quantization, Poisson brackets and beyond : London Mathematical Society Regional Meeting and Workshop on Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics, July 6-13, 2001, University of Manchester Institute of Science and Technology, Manchester, United Kingdom
Author(s)
Bibliographic Information
Quantization, Poisson brackets and beyond : London Mathematical Society Regional Meeting and Workshop on Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics, July 6-13, 2001, University of Manchester Institute of Science and Technology, Manchester, United Kingdom
(Contemporary mathematics, 315)
American Mathematical Society, c2002
Available at 48 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references
Description and Table of Contents
Description
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'. The focus is on the topics suggested by the title: Quantization in its various aspects, Poisson brackets and generalizations, and structures 'beyond', including symplectic supermanifolds, operads, Lie groupoids and Lie (bi) algebroids and algebras with $n$-ary operations. This book offers accounts of new results as well as accessible expositions useful to a broad reading audience of researchers in differential geometry, algebraic topology and mathematical physics.
Table of Contents
Deformation quantization: Pro and contra by B. Fedosov Quantization as a functor by N. P. Landsman Star exponential functions for quadratic forms and polar elements by H. Omori, Y. Maeda, N. Miyazaki, and A. Yoshioka On traces for differential star products on symplectic manifolds by J. Rawnsley Quantum $G$-manifolds by J. Donin $\mathcal{U}_q(sl(n))$-covariant quantization of symmetric coadjoint orbits via reflection equation algebra by J. Donin and A. Mudrov Toward a classification of Poisson structures on surfaces by O. Radko Lectures on operads by J. D. S. Jones Graded manifolds and Drinfeld doubles for Lie bialgebroids by T. Voronov On the structure of graded symplectic supermanifolds and Courant algebroids by D. Roytenberg On certain canonical diffeomorphisms in symplectic and Poisson geometry by K. C. H. Mackenzie Laplacians in odd symplectic geometry by H. M. Khudaverdian Differential operators and actions of Lie algebroids by Y. Kosmann-Schwarzbach and K. C. H. Mackenzie Poisson actions and Lie bialgebroid morphisms by L.-g. He, Z.-J. Liu, and D.-S. Zhong Identities and derivations for Jacobian algebras by A. S. Dzhumadil'daev.
by "Nielsen BookData"