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Equivariant Cohomology and Localization of Path Integrals

  • Book
  • © 2000

Overview

  • This book is of interest in mathematics as well as in physics.
  • Includes supplementary material: sn.pub/extras

Part of the book series: Lecture Notes in Physics Monographs (LNPMGR, volume 63)

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Table of contents (10 chapters)

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About this book

This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability. The text explores the symmetries inherent in localizable models for assessing the applicability of localization formulae. Various applications from physics and mathematics are presented.

Reviews

"A thorough exposition of the current state of applying equivariant cohomology to quantum field theory. [...] If one takes the attitude that this material may make mathematical sense within the next fifty years, the book can be appreciated as a well-organized exposition of the topological content of quantum field theory from a physics viewpoint." (Mathematical Reviews 2002a)

Authors and Affiliations

  • The Niels Bohr Institute, Copenhagen Ø, Denmark

    Richard J. Szabo

  • Department of Physics - Theoretical Physics, University of Oxford, Oxford, UK

    Richard J. Szabo

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