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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.09162 |
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| _version_ | 1866910331206369280 |
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| author | Lysov, Vyacheslav |
| author_facet | Lysov, Vyacheslav |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_09162 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Chern-Gauss-Bonnet theorem via BV localization Lysov, Vyacheslav High Energy Physics - Theory Mathematical Physics 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. |
| title | Chern-Gauss-Bonnet theorem via BV localization |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2402.09162 |