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Finite presentations for stated skein algebras and lattice gauge field theory

Julien Korinman

Algebraic & Geometric Topology 23 (2023) 1249–1302
Abstract

We provide finite presentations for stated skein algebras and deduce that those algebras are Koszul and that they are isomorphic to the quantum moduli algebras appearing in lattice gauge field theory, generalizing previous results of Bullock, Frohman, Kania-Bartoszynska and Faitg.

Keywords
stated skein algebras, lattice gauge field theory
Mathematical Subject Classification
Primary: 57R56
Secondary: 57K31
References
Publication
Received: 4 January 2021
Revised: 8 September 2021
Accepted: 30 September 2021
Published: 6 June 2023
Authors
Julien Korinman
Departement of Mathematics
Waseda University
Tokyo
Japan
https://sites.google.com/site/homepagejulienkorinman/

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