Generalized Double Affine Hecke Algebra for Double Torus

Published 14 Feb 2024 in math.QA, math-ph, math.GT, and math.MP | (2402.09106v1)

Abstract: We propose a generalization of the double affine Hecke algebra of type-C C1 at specific parameters by introducing a ``Heegaard dual'' of the Hecke operators. Shown is a relationship with the skein algebra on double torus. We give automorphisms of the algebra associated with the Dehn twists on the double torus.

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Authors (1)

Kazuhiro Hikami

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