Generalized Double Affine Hecke Algebra for Double Torus
Quantum Algebra
2024-02-15 v1 Mathematical Physics
Geometric Topology
math.MP
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.
Cite
@article{arxiv.2402.09106,
title = {Generalized Double Affine Hecke Algebra for Double Torus},
author = {Kazuhiro Hikami},
journal= {arXiv preprint arXiv:2402.09106},
year = {2024}
}
Comments
13 pages, 4 figures