Chern-Gauss-Bonnet theorem via BV localization

Abstract:

I will give a brief introduction to supersymmetric localization, BV formalism, and BV localization. I will show that the Euler class integral is a partition function for a zero-dimensional field theory with on-shell supersymmetry. I will describe the partition function as a BV integral, and deform the Lagrangian sub-manifold to evaluate the same integral as a sum over critical points for the Morse function.