dorsal/arxiv
View SchemaQuantization Commutes with Reduction of Chern-Simons Gauge Theory
| Authors | Geyang Dai, Ruiming Liang, Yang Zhang |
|---|---|
| Categories | |
| ArXiv ID | 2601.09666vv1 |
| URL | https://arxiv.org/abs/2601.09666 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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.
{
"annotation_id": "5492da12-abab-4a77-9263-61eed44cf4a1",
"date_created": "2026-02-17T05:53:20.291000Z",
"date_modified": "2026-02-17T05:53:20.291000Z",
"file_hash": "ee905fde6413512f8d79d6aee0fab75c0ec73926e9dd4708559e285ef59c1a6b",
"private": false,
"record": {
"abstract": "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.",
"arxiv_id": "2601.09666",
"authors": [
"Geyang Dai",
"Ruiming Liang",
"Yang Zhang"
],
"categories": [
"math-ph",
"math.MP"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Quantization Commutes with Reduction of Chern-Simons Gauge Theory",
"url": "https://arxiv.org/abs/2601.09666",
"version": "v1"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1679215b-7b6d-4bf0-a999-179df261abff",
"id": "arXiv Dataset",
"type": "Model",
"variant": "snapshot-2026-01-17",
"version": "0.1.0"
},
"user_id": 1000002
}