nLab
Geometry, Topology and Physics

Contents

This page collects material related to the textbook

on geometry and topology in mathematical physics, such as in fiber bundles in physics.

Contents

Quantum Physics

Mathematical Preliminaries

Homology Groups

Homotopy Groups

Abelian groups

Simplices and simplicial complexes

Homology groups of simplicial complexes

General properties of homology groups

Manifolds

de Rham Cohomology Groups

Riemannian Geometry

Complex Manifolds

Fibre Bundles

Connections on Fiber Bundles

Connections on principal bundles

Holonomy

Curvature

The covariant derivative

Gauge theories

Berry’s phase

Characteristic Classes

Index Theorems

Anomalies in Gauge Field Theories

Bosonic String Theory

category: reference

Last revised on August 1, 2021 at 09:36:16. See the history of this page for a list of all contributions to it.