Geometry, Topology and Physics, Third Edition
FUNDAMENTALS Quantum Physics Mathematical Preliminaries Homology Groups Homotopy Groups Knots, Links and Braids de Rham Cohomology Groups Riemannian Geometry Complex Manifolds Fiber Bundles Connections on Fiber Bundles Characteristic Classes Index Theorems APPLICATIONS Anomalies in Gauge Field Theories Bosonic String Theory Brane-World Cosmology Topological Aspects of Quantum Hall Effects and Topological Insulators Topological Aspects of Quantum Computing Seiberg-Witten Invariants and Topology of 4-Manifolds Shape of the Universe Poincare Conjecture and Ricci Flow.