Triangles, Rotation, a Theorem and the Jackpot by Dave Auckly
Publisher: arXiv 2013
Number of pages: 43
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.
Mathematics Geometry & Topology Differential Geometry