A geometric construction of the Witten genus, I
Kevin J. Costello

TL;DR
This paper presents a geometric approach to understanding the Witten genus of complex manifolds through the analysis of a specific two-dimensional quantum field theory.
Contribution
It offers a new geometric construction of the Witten genus by rigorously analyzing a related quantum field theory.
Findings
Establishes a geometric interpretation of the Witten genus.
Connects quantum field theory with complex manifold invariants.
Provides a foundation for further mathematical exploration of quantum field theoretic methods.
Abstract
I describe how the Witten genus of a complex manifold can be seen from a rigorous analysis of a certain two-dimensional quantum field theory of maps from a surface to .
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