Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 18 (2022), 064, 35 pages      arXiv:2202.07649      https://doi.org/10.3842/SIGMA.2022.064

Mapping Class Group Representations Derived from Stated Skein Algebras

Julien Korinman
Department of Mathematics, Faculty of Science and Engineering, Waseda University, 3-4-1 Ohkubo, Shinjuku-ku, Tokyo, 169-8555, Japan

Received March 09, 2022, in final form August 22, 2022; Published online August 26, 2022

Abstract
We construct finite-dimensional projective representations of the mapping class groups of compact connected oriented surfaces having one boundary component using stated skein algebras.

Key words: mapping class groups; stated skein algebras; quantum moduli spaces; quantum Teichmüller spaces.

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