Title: Equivariant Cohomology and Localization of Path Integrals
Description: 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.
Subjects: Path integrals, Mathematical physics, Homology theory, Quantum theory, Topology, Physics, Global analysis, Mathematical Methods in Physics, Quantum Field Theory Elementary Particles, Global Analysis and Analysis on Manifolds, Global analysis (Mathematics)