The Atiyah-Singer index theorem
History and Overview
2021-07-09 v1 Mathematical Physics
Analysis of PDEs
Algebraic Topology
Differential Geometry
math.MP
Abstract
The Atiyah-Singer index theorem, a landmark achievement of the early 1960s, brings together ideas in analysis, geometry, and topology. We recount some antecedents and motivations; various forms of the theorem; and some of its implications, which extend to the present.
Cite
@article{arxiv.2107.03557,
title = {The Atiyah-Singer index theorem},
author = {Daniel S. Freed},
journal= {arXiv preprint arXiv:2107.03557},
year = {2021}
}
Comments
52 pages, to appear in Bulletin AMS