**Contemporary Mathematics**

Volume: 315;
2002;
280 pp;
Softcover

MSC: Primary 53; 46; 17; 18; 58;

Print ISBN: 978-0-8218-3201-1

Product Code: CONM/315

List Price: $84.00

Individual Member Price: $67.20

**Electronic ISBN: 978-0-8218-7905-4
Product Code: CONM/315.E**

List Price: $84.00

Individual Member Price: $67.20

# Quantization, Poisson Brackets and Beyond

Share this page *Edited by *
*Theodore Voronov*

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

# Table of Contents

## Quantization, Poisson Brackets and Beyond

- Contents v6 free
- Preface vii8 free
- Deformation quantization: Pro and contra 110 free
- Quantization as a functor 918
- Star exponential functions for quadratic forms and polar elements 2534
- On traces for differential star products on symplectic manifolds 3948
- Quantum G-manifolds 4756
- Uq(sl(n))-covariant quantization of symmetric coadjoint orbits via reflection equation algebra 6170
- Toward a classification of Poisson structures on surfaces 8190
- Lectures on operads 8998
- Graded manifolds and Drinfeld doubles for Lie bialgebroids 131140
- On the structure of graded symplectic supermanifolds and Courant algebroids 169178
- On certain canonical diffeomorphisms in symplectic and Poisson geometry 187196
- Laplacians in odd symplectic geometry 199208
- Differential operators and actions of Lie algebroids 213222
- Poisson actions and Lie bialgebroid morphisms 235244
- Identities and derivations for Jacobian algebras 245254

#### Readership

Graduate students and research mathematicians interested in mathematical physics, differential geometry, and algebraic topology.