Mapping Class Group Representations Derived from Stated Skein Algebras
We construct finite-dimensional projective representations of the mapping class groups of compact connected oriented surfaces having one boundary component using stated skein algebras.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2022 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2022
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/211829 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Mapping Class Group Representations Derived from Stated Skein Algebras. Julien Korinman. SIGMA 18 (2022), 064, 35 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862670603839864832 |
|---|---|
| author | Korinman, Julien |
| author_facet | Korinman, Julien |
| citation_txt | Mapping Class Group Representations Derived from Stated Skein Algebras. Julien Korinman. SIGMA 18 (2022), 064, 35 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct finite-dimensional projective representations of the mapping class groups of compact connected oriented surfaces having one boundary component using stated skein algebras.
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| first_indexed | 2026-03-16T14:23:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211829 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-16T14:23:03Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Korinman, Julien 2026-01-12T10:23:09Z 2022 Mapping Class Group Representations Derived from Stated Skein Algebras. Julien Korinman. SIGMA 18 (2022), 064, 35 pages 1815-0659 2020 Mathematics Subject Classification: 57R56; 57N10; 57M25 arXiv:2202.07649 https://nasplib.isofts.kiev.ua/handle/123456789/211829 https://doi.org/10.3842/SIGMA.2022.064 We construct finite-dimensional projective representations of the mapping class groups of compact connected oriented surfaces having one boundary component using stated skein algebras. The author thanks S. Baseilhac, D. Callaque, F. Costantino, A. Quesney, T.Q.T. Lê, and P. Safronov for valuable conversations. He also thanks the anonymous referees for their very detailed reports, which improved the quality and readability of this paper. He acknowledges support from the Japanese Society for the Promotion of Science, the Centre National de la Recherche Scientifique, and the ERC DerSympApp (Grant 768679). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Mapping Class Group Representations Derived from Stated Skein Algebras Article published earlier |
| spellingShingle | Mapping Class Group Representations Derived from Stated Skein Algebras Korinman, Julien |
| title | Mapping Class Group Representations Derived from Stated Skein Algebras |
| title_full | Mapping Class Group Representations Derived from Stated Skein Algebras |
| title_fullStr | Mapping Class Group Representations Derived from Stated Skein Algebras |
| title_full_unstemmed | Mapping Class Group Representations Derived from Stated Skein Algebras |
| title_short | Mapping Class Group Representations Derived from Stated Skein Algebras |
| title_sort | mapping class group representations derived from stated skein algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211829 |
| work_keys_str_mv | AT korinmanjulien mappingclassgrouprepresentationsderivedfromstatedskeinalgebras |