Overview

This title contains 11 refereed research papers on deformation quantization 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 are presented. Historical remarks and survey set the results presented in perspective.

Full Product Details

Author:   Gilles Halbout
Publisher:   De Gruyter
Imprint:   De Gruyter
Edition:   Reprint 2012
Volume:   1
Dimensions:   Width: 17.00cm , Height: 1.60cm , Length: 24.00cm
Weight:   0.476kg
ISBN:  

9783110172478

ISBN 10:   311017247
Pages:   244
Publication Date:   26 March 2002
Recommended Age:   College Graduate Student
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

Gilles Halbout: Deformation quantization, methods and applications to open problems · Giuseppe Dito and Daniel Sternheimer: Deformation quantization: genisis and metamorphoses · Giuseppe Dito: Asymptotic quantum electrodynamics · Boris Fedosov: On the trace density in deformation quantization · Daniel Arnaudon, Jean Avan, Luc Frappat and Eric Ragoucy: Deformed double Yangians and quasi-Hopf algebras · Stefan Waldmann: On the representation theory of deformation quantization · Claude Roger: Unimodular fields and deformation quantization · Christian Frønsdal: Harrison cohomology and abelian deformation quantization on algebraic varieties · Louis Boutet de Monvel: Related semi-classical and Toeplitz algebras · Alberto S. Cattaneo, Giovani Felder and Adriano Tomassini: Fedosov connections on jet bundles and deformation quantization · Dimitry Tamarkin: Deformation theory of Hopf algebras

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Gilles Halbout, Institut de Recherche Mathématique Avancée de Strasbourg, Strasbourg, France

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