Topology and Geometry in Physics

E. Bick, F.D. Steffen (auth.), Eike Bick, Frank Daniel Steffen (eds.)3-540-23125-0

Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity and particle physics. This book can be considered an advanced textbook on modern applications and recent developments in these fields of physical research. Written as a set of largely self-contained extensive lectures, the book gives an introduction to topological concepts in gauge theories, BRST quantization, chiral anomalies, supersymmetric solitons and noncommutative geometry. It will be of benefit to postgraduate students, educating newcomers to the field and lecturers looking for advanced material.

Table of contents :
Introduction and Overview….Pages 1-5
Topological Concepts in Gauge Theories….Pages 7-98
Aspects of BRST Quantization….Pages 99-166
Chiral Anomalies and Topology….Pages 167-236
Supersymmetric Solitons and Topology….Pages 237-284
Forces from Connes’ Geometry….Pages 285-350