Generalized double affine Hecke algebra for double torus

Author:

Hikami KazuhiroORCID

Abstract

AbstractWe propose a generalization of the double affine Hecke algebra of type-$$C^\vee C_1$$ C C 1 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.

Funder

JSPS

Publisher

Springer Science and Business Media LLC

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