Relating Stated Skein Algebras and Internal Skein Algebras

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Haïoun, Benjamin
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211626
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Relating Stated Skein Algebras and Internal Skein Algebras. Benjamin Haïoun. SIGMA 18 (2022), 042, 39 pages

We give an explicit correspondence between stated skein algebras, which are defined via explicit relations on stated tangles in [Costantino F., Lê T.T.Q., arXiv:1907.11400], and internal skein algebras, which are defined as internal endomorphism algebras in free cocompletions of skein categories in...