Chern-Gauss-Bonnet theorem via BV localization
High Energy Physics - Theory
2024-02-15 v1 Mathematical Physics
math.MP
Abstract
We present a new proof for the Chern-Gauss-Bonnet theorem. We represent the Euler class integral as the partition function for zero-dimensional field theory with on-shell supersymmetry. We rewrite the supersymmetric partition function as a BV integral and deform the Lagrangian submanifold. The new Lagrangian submanifold localizes the BV integral to the critical points of the Morse function.
Cite
@article{arxiv.2402.09162,
title = {Chern-Gauss-Bonnet theorem via BV localization},
author = {Vyacheslav Lysov},
journal= {arXiv preprint arXiv:2402.09162},
year = {2024}
}
Comments
16 pages