The Chern-Gauss-Bonnet Theorem via supersymmetric Euclidean field theories

Abstract

We prove the Chern-Gauss-Bonnet Theorem using sigma models whose source supermanifolds have super dimension 0|2. Along the way we develop machinery for understanding manifold invariants encoded by families of 0|n-dimensional Euclidean field theories and their quantization.

References in corpus (1)

• Deformation quantization of Poisson manifolds, I