2 options
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 / Theodore Voronov, editor.
- Format:
- Book
- Series:
- Contemporary mathematics, 0271-4132 . 315.
- Contemporary mathematics, 315 0271-4132
- Language:
- English
- Subjects (All):
- Geometric quantization.
- Poisson brackets.
- Mathematical physics.
- Physical Description:
- 1 online resource (290 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2002]
- Language Note:
- English
- Summary:
- 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'', 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.
- Contents:
- Contents
- Preface
- Deformation quantization: Pro and contra
- Quantization as a functor
- Star exponential functions for quadratic forms and polar elements
- On traces for differential star products on symplectic manifolds
- Quantum G-manifolds
- Uq(sl(n))-covariant quantization of symmetric coadjoint orbits via reflection equation algebra
- Toward a classification of Poisson structures on surfaces
- Lectures on operads
- Graded manifolds and Drinfeld doubles for Lie bialgebroids
- On the structure of graded symplectic supermanifolds and Courant algebroids
- On certain canonical diffeomorphisms in symplectic and Poisson geometry
- Laplacians in odd symplectic geometry
- Differential operators and actions of Lie algebroids
- Poisson actions and Lie bialgebroid morphisms
- Identities and derivations for Jacobian algebras.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7905-7
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