English

A geometric construction of the Witten genus, I

Quantum Algebra 2010-08-30 v2 Algebraic Topology

Abstract

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

Keywords

Cite

@article{arxiv.1006.5422,
  title  = {A geometric construction of the Witten genus, I},
  author = {Kevin J. Costello},
  journal= {arXiv preprint arXiv:1006.5422},
  year   = {2010}
}