Rigidity of $\mathbf{SU(2)}$ and $\mathbf{SO(3)}$ quantum representations of mapping class groups at prime levels
Geometric Topology
2025-11-26 v1 Algebraic Geometry
Quantum Algebra
Abstract
We prove the rigidity of Witten-Reshetikhin-Turaev and quantum representations of mapping class groups at all prime levels for closed surfaces of genus at least . The proof relies on Ocneanu rigidity of modular categories and harmonic representatives in Hodge theory.
Keywords
Cite
@article{arxiv.2511.19795,
title = {Rigidity of $\mathbf{SU(2)}$ and $\mathbf{SO(3)}$ quantum representations of mapping class groups at prime levels},
author = {Pierre Godfard},
journal= {arXiv preprint arXiv:2511.19795},
year = {2025}
}
Comments
38 pages, 3 figures. Comments welcome!