A quantum ergodic theorem for mapping class groups action on character variety
Mathematical Physics
2023-07-11 v4 Algebraic Topology
math.MP
Abstract
We state a theorem relating the ergodicity of the action of a given subgroup of the mapping class group of a surface on the character variety, to the asymptotic of its invariant subspaces through the Witten-Reshetikhin-Turaev representations. As application we give an asymptotic result on the spin decomposition arising in TQFT.
Cite
@article{arxiv.1601.06106,
title = {A quantum ergodic theorem for mapping class groups action on character variety},
author = {Julien Korinman},
journal= {arXiv preprint arXiv:1601.06106},
year = {2023}
}