Geometry, Topology and Physics, Second Edition (Graduate Student Series in Physics)

Geometry, Topology and Physics is a comprehensive guide for postgraduate students and researchers in theoretical and mathematical physics who want to master differential geometry and topology.

This book provides an in-depth introduction to the fundamental concepts of differential geometry and topology, including maps, vector spaces, and characteristic classes.

It also explores the application of these concepts to various fields such as liquid crystals, superfluid helium, general relativity, and bosonic string theory. The second edition includes new material on the proof of the index theorem in terms of supersymmetric quantum mechanics, making it an essential resource for anyone interested in the latest developments in the field.

The book also covers fascinating applications of geometry and topology in contemporary physics, such as the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from a geometrical perspective. With its clear and concise explanations, Geometry, Topology and Physics is an indispensable tool for anyone looking to deepen their understanding of differential geometry and topology and their applications in physics.