A geometric construction of the Witten genus, I

2010/06/28 by Kevin J. Costello, Costello, Kevin J. · 3 citations
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Quantum Algebra (math.QA) #math.AT #math.QA

paper · pdf · doi:10.48550/arxiv.1006.5422

arxiv created 2010/08/27 · arxiv updated 2010/08/30

Abstract

I describe how the Witten genus of a complex manifold X can be seen from a rigorous analysis of a certain two-dimensional quantum field theory of maps from a surface to X.

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• A geometric construction of the Witten genus, II

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