Quantization Commutes with Reduction of Chern-Simons Gauge Theory
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918289348755456 |
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| author | Dai, Geyang Liang, Ruiming Zhang, Yang |
| author_facet | Dai, Geyang Liang, Ruiming Zhang, Yang |
| contents | We prove an infinite-dimensional version of "quantization commutes with reduction" in the framework of geometric quantization of Chern-Simons gauge theory, focusing on the genus one case. The proof is complex-analytic and relies on the Atiyah-Bott stack and the Chern-Simons line bundle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09666 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Quantization Commutes with Reduction of Chern-Simons Gauge Theory Dai, Geyang Liang, Ruiming Zhang, Yang Mathematical Physics 53Cxx We prove an infinite-dimensional version of "quantization commutes with reduction" in the framework of geometric quantization of Chern-Simons gauge theory, focusing on the genus one case. The proof is complex-analytic and relies on the Atiyah-Bott stack and the Chern-Simons line bundle. |
| title | Quantization Commutes with Reduction of Chern-Simons Gauge Theory |
| topic | Mathematical Physics 53Cxx |
| url | https://arxiv.org/abs/2601.09666 |