A geometric construction of the Witten genus, II

Kevin J. Costello

A geometric construction of the Witten genus, II

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arxiv 1112.0816 v2 pith:VIIMDXWA submitted 2011-12-05 math.QA math.AT

A geometric construction of the Witten genus, II

Kevin J. Costello This is my paper

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I give a rigorous construction of a 2-dimensional quantum field theory of maps from an elliptic curve to a compact complex manifold X, and I show that the partition function of this theory is the Witten genus of X. The results proved here were announced (in a slightly different form) in arXiv:1006.5422.

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