A geometric construction of the Witten genus, II

Details A geometric construction of the Witten genus, II A geometric construction of the Witten genus, II

2011-12-05

arxiv.org/abs/1112.0816v2

Mathematics

Quantum Algebra

91 pages. Version 2: typos corrected

Scientific paper

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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