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• W3106947002 abstract "We compute the factorisation homology of the four-punctured sphere and punctured torus over the quantum group $mathcal{U}_q(mathfrak{sl}_2)$ explicitly as categories of equivariant modules using the framework of `Integrating Quantum Groups over Surfaces' by Ben-Zvi, Brochier, and Jordan. We identify the algebra of invariants (quantum global sections) with the spherical double affine Hecke algebra of type $(C^vee_1,C_1)$, in the four-punctured sphere case, and with the `cyclic deformation' of $U(su_2)$ in the punctured torus case. In both cases, we give an identification with the corresponding quantum Teichmuller space as proposed by Teschner and Vartanov as a quantization of the moduli space of flat connections." @default.
• W3106947002 created "2020-12-07" @default.
• W3106947002 creator A5056321322 @default.
• W3106947002 date "2020-12-01" @default.
• W3106947002 modified "2023-09-27" @default.
• W3106947002 title "Kauffman skein algebras and quantum Teichmüller spaces via factorization homology" @default.
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• W3106947002 doi "https://doi.org/10.1142/s0218216520500893" @default.
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