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arxiv: 1301.0352 · v1 · pith:ORNNUUSWnew · submitted 2013-01-02 · 🧮 math.HO · math.CO· math.DG· math.GT

Triangles, Rotation, a Theorem and the Jackpot

classification 🧮 math.HO math.COmath.DGmath.GT
keywords theoremincludesannouncementapplicationsatiyah-singerconcordancecountingdesigned
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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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