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arXiv · 2402.09162

Chern-Gauss-Bonnet theorem via BV localization

Vyacheslav Lysov
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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.

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Vyacheslav Lysov. 2024-02-14. Chern-Gauss-Bonnet theorem via BV localization. https://arxiv.org/abs/2402.09162

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