Deformation quantization : proceedings of the meeting of theoretical physicists and mathematicians, Strasbourg, May 31-June 2, 2001 = rencontre entre physiciens théoriciens et mathématiciens, Strasbourg, 31 mai-2 juin 2001 / editor Gilles Halbout.

Format:

Book

Contributor:

Halbout, Gilles.

Series:

IRMA Lectures in Mathematics and Theoretical Physics

IRMA Lectures in Mathematics and Theoretical Physics ; 1

Language:

English

Subjects (All):

Geometric quantization--Congresses.

Geometric quantization.

Mathematical physics--Congresses.

Mathematical physics.

Physical Description:

1 online resource (244 p.)

Edition:

Reprint 2012

Place of Publication:

Berlin ; New York : Walter de Gruyter, 2002.

Language Note:

English

Summary:

This book contains eleven refereed research papers on deformation quantization by leading experts in the respective fields. These contributions are based on talks presented on the occasion of the meeting between mathematicians and theoretical physicists held in Strasbourg in May 2001. Topics covered are: star-products over Poisson manifolds, quantization of Hopf algebras, index theorems, globalization and cohomological problems. Both the mathematical and the physical approach ranging from asymptotic quantum electrodynamics to operads and prop theory will be presented. Historical remarks and surveys set the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume will give an overview of a field of research that has seen enourmous acticity in the last years, with new ties to many other areas of mathematics and physics.

Contents:

Front matter

Preface

Table of Contents

Deformation quantization, methods and applications / Halbout, Gilles

Deformation quantization: genesis, developments and metamorphoses / Dito, Giuseppe / Sternheimer, Daniel

Deformation quantization of covariant fields / Dito, Giuseppe

On the trace density in deformation quantization / Fedosov, Boris

Deformed double Yangians and quasi-Hopf algebras / Arnaudon, Daniel / Avan, Jean / Frappat, Luc / Ragoucy, Eric

On the representation theory of deformation quantization / Waldmann, Stefan

Unimodular vector fields and deformation quantization / Roger, Claude

Harrison cohomology and abelian deformation quantization on algebraic varieties / Frønsdal, Christian

Related semi-classical and Toeplitz algebras / Monvel, Louis Boutet de

Fedosov connections on jet bundles and deformation quantization / Cattaneo, Alberto S. / Felder, Giovanni / Tomassini, Lorenzo

Quantization of Lie bialgebras via the formality of the operad of little disks / Tamarkin, Dimitri

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

9783110866223

3110866226

OCLC:

922947622