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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2022 Volume 18, 064, 35 pp. (Mi sigma1860)
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

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.

Keywords: mapping class groups, stated skein algebras, quantum moduli spaces, quantum Teichmüller spaces.

MSC: 57R56, 57N10, 57M25

Received: March 9, 2022; in final form August 22, 2022; Published online August 26, 2022

Language: English

DOI: 10.3842/SIGMA.2022.064



Bibliographic databases:
ArXiv: 2202.07649

© Steklov Math. Inst. of RAS, 2024