Quantization Commutes with Reduction of Chern-Simons Gauge Theory
Mathematical Physics
2026-01-15 v1 math.MP
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.
Keywords
Cite
@article{arxiv.2601.09666,
title = {Quantization Commutes with Reduction of Chern-Simons Gauge Theory},
author = {Geyang Dai and Ruiming Liang and Yang Zhang},
journal= {arXiv preprint arXiv:2601.09666},
year = {2026}
}