notes,

THE WITTEN GENUS, AFTER KEVIN COSTELLO

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(2010)

Abstract

These are notes from the Witten Genus Seminar that took place at the Max Planck Institute in Bonn, Fall 2010. Any errors in what follows are mine. In a series of two papers Cos10a, Cos10b, Kevin Costello gives a construction of the Witten genus via his notion of a quantum field theory. The goal of this seminar will be to develop enough machinery to understand the proof of this theorem, and try to grasp some of it�s implications for physicallymotivated mathematics.

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