Anomalies & index theorems

Historical overview: Fine & Fine, Gauge theory, anomalies and global geometry

Physics

Bilal, Lectures on anomalies

Morozov, Anomalies in gauge theories

Salm, Anomalies and the Atiyah-Singer index theorem

Alvarez-Gaume, An introduction to anomalies

Preskill, Gauge anomalies in an effective field theory

Schifman, Anomalies in gauge theories

Bertlman, Anomalies in quantum field theory

Alvarez-Gaume & Ginsparg, The topological meaning of non-abelian anomalies

Alvarez-Gaume & Ginsparg, The structure of gauge and gravitational anomalies

Booss & Bleecker, Topology and analysis: the Atiyah-Singer index formula and gauge-theoretic physics

Eguchi, Gilkey & Hanson, Gravitation, gauge theories and differential geometry

Mathematics

Roe, Elliptic operators, topology and asymptotic methods

Mukherjee, The Atiyah-Singer index theorem -- an introduction

Gilkey, Invariance theory, the heat equation and the Atiyah-Singer index theorem

Berline, Getzler & Vergne, Heat kernels and Dirac operators

Bleecher & Booss-Bavneck, Index theory with applications to mathematics and physics

The original math papers

Atiyah & Singer, The index of elliptic operators I, II, III, IV, V