Geodesic
Points of quantum SLn coming from quantum snakes
Douglas, Daniel C1
1 Department of Mathematics, Virginia Tech, Blacksburg, VA, United States
Algebraic and Geometric Topology, Tome 24 (2024) no. 5, pp. 2537-2570

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We show that the quantized Fock–Goncharov monodromy matrices satisfy the relations of the quantum special linear group SL ⁡ nq. The proof employs a quantum version of the technology of Fock and Goncharov, called snakes. This relationship between higher Teichmüller theory and quantum group theory is integral to the construction of an SL ⁡ n–quantum trace map for knots in thickened surfaces, partially developed in previous work of the author.

DOI : 10.2140/agt.2024.24.2537
Keywords: quantum trace map, Fock–Goncharov coordinates

Douglas, Daniel C 1

1 Department of Mathematics, Virginia Tech, Blacksburg, VA, United States 
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Douglas, Daniel C. Points of quantum SLn coming from quantum snakes. Algebraic and Geometric Topology, Tome 24 (2024) no. 5, pp. 2537-2570. doi: 10.2140/agt.2024.24.2537

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