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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 064, 35 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.064 (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
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DOI: https://doi.org/10.3842/SIGMA.2022.064
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.
Funding agency Grant number
Japan Society for the Promotion of Science
Centre National de la Recherche Scientifique
European Research Council 768679
He acknowledges support from the Japanese Society for Promotion of Sciences, from the Centre National de la Recherche Scientifique and from the ERC DerSympApp (Grant 768679).
Received: March 9, 2022; in final form August 22, 2022; Published online August 26, 2022
Bibliographic databases:
Document Type: Article
MSC: 57R56, 57N10, 57M25
Language: English
Citation: Julien Korinman, “Mapping Class Group Representations Derived from Stated Skein Algebras”, SIGMA, 18 (2022), 064, 35 pp.
Citation in format AMSBIB
\Bibitem{Kor22}
\by Julien~Korinman
\paper Mapping Class Group Representations Derived from Stated Skein Algebras
\jour SIGMA
\yr 2022
\vol 18
\papernumber 064
\totalpages 35
\mathnet{http://mi.mathnet.ru/sigma1860}
\crossref{https://doi.org/10.3842/SIGMA.2022.064}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4472913}
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