On the genus two skein algebra
نویسندگان
چکیده
We study the skein algebra of genus 2 surface and its action on module handlebody. compute this explicitly, we describe how decomposes over certain subalgebras in terms polynomial representations double affine Hecke algebras. Finally, show that is isomorphic to t = q specialisation two spherical recently defined by Arthamonov Shakirov.
منابع مشابه
Traces on the Skein Algebra of the Torus
For a surface F , the Kauffman bracket skein module of F × [0, 1], denoted K(F ), admits a natural multiplication which makes it an algebra. When specialized at a complex number t, nonzero and not a root of unity, we have Kt(F ), a vector space over C. In this paper, we will use the product-to-sum formula of Frohman and Gelca to show that the vector space Kt(T ) has five distinct traces. One tr...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2021
ISSN: ['1469-7750', '0024-6107']
DOI: https://doi.org/10.1112/jlms.12497