TY - BOOK AU - Szabo,Richard J. ED - SpringerLink (Online service) TI - Equivariant Cohomology and Localization of Path Integrals T2 - Lecture Notes in Physics Monographs, SN - 9783540465508 AV - QC5.53 U1 - 530.15 23 PY - 2000/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Physics KW - Global analysis KW - Topology KW - Mathematical physics KW - Quantum theory KW - Mathematical Methods in Physics KW - Elementary Particles, Quantum Field Theory KW - Global Analysis and Analysis on Manifolds N1 - Equivariant Cohomology and the Localization Principle -- Finite-Dimensional Localization Theory for Dynamical Systems -- Quantum Localization Theory for Phase Space Path Integrals -- Equivariant Localization on Simply Connected Phase Spaces: Applications to Quantum Mechanics, Group Theory and Spin Systems -- Equivariant Localization on Multiply Connected Phase Spaces: Applications to Homology and Modular Representations -- Beyond the Semi-Classical Approximation -- Equivariant Localization in Cohomological Field Theory -- Appendix A: BRST Quantization -- Appendix B: Other Models of Equivariant Cohomology N2 - 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 UR - http://dx.doi.org/10.1007/3-540-46550-2 ER -