Triangles, Rotation, a Theorem and the Jackpot

2013/01/02 by Auckly, Dave
#Combinatorics (math.CO) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #History and Overview (math.HO)

paper · doi:10.48550/arxiv.1301.0352

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.

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