Quantization Commutes with Reduction of Chern-Simons Gauge Theory

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Geyang Dai, Ruiming Liang, Yang Zhang
DOI: 10.48550/arxiv.2601.09666
Cited by: 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.

Fields of Study & Subjects

Homotopy and Cohomology in Algebraic Topology Geometric and Algebraic Topology Algebraic Geometry and Number Theory

Publication details

Journal / source
arXiv (Cornell University)
Publication date
14 January 2026
Document type
Preprint