Triangles, Rotation, a Theorem and the Jackpot
History and Overview
2013-01-04 v1 Combinatorics
Differential Geometry
Geometric Topology
Abstract
This is an expository paper designed to introduce undergraduates to the Atiyah-Singer index theorem 50 years after its announcement. It includes motivation, a statement of the theorem, an outline of the easy part of the heat equation proof. It includes counting lattice points and knot concordance as applications.
Cite
@article{arxiv.1301.0352,
title = {Triangles, Rotation, a Theorem and the Jackpot},
author = {Dave Auckly},
journal= {arXiv preprint arXiv:1301.0352},
year = {2013}
}