Year: 2021
Type: article
Abstract: 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 decomposes over certain subalgebras in terms of polynomial representations of double affine Hecke algebras. Finally, we show that this algebra is isomorphic to the t = q specialisation of the genus two spherical double affine Hecke algebra recently defined by Arthamonov and Shakirov.
DOI: 10.1112/jlms.12497
Authors: Juliet Cooke, Peter Samuelson
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W3081749195