21 citations · 32 across the 4 of their papers we have counts for
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Higher Rank Askey-Wilson Algebras as Skein Algebras
Juliet Cooke, Abel Lacabanne
In this paper we give a topological interpretation and diagrammatic calculus for the rank Askey-Wilson algebra by proving there is an explicit isomorphism with the Kauffman…
On the genus two skein algebra
Juliet Cooke, Peter Samuelson
We study the skein algebra of the genus 2 surface and its action on the skein module of the genus 2 handlebody. We compute this action explicitly, and we describe how the module de…
Excision of Skein Categories and Factorisation Homology
Juliet Cooke
We prove that the skein categories of Walker--Johnson-Freyd satisfy excision. This allows us to conclude that skein categories are -linear factorisation homology and taking the…
Kauffman Skein Algebras and Quantum Teichmüller Spaces via Factorisation Homology
Juliet Cooke
We compute the factorisation homology of the four-punctured sphere and punctured torus over the quantum group explicitly as categories of equivaria…