3 papers
math.QA2025
Askey-Wilson polynomial and genus-two skein module
Kazuhiro Hikami
Based on the q-difference operators for the genus-two skein algebra, we show the correspondence between the reduced Askey-Wilson polynomials and the skein module of the genus-two h…
math.QA2024
A note on double affine Hecke algebra for skein algebra on twice-punctured torus
Kazuhiro Hikami
We construct a generalization of the -type double affine Hecke algebra for the skein algebra on the twice-punctured torus using the Heegaard dual of the Iwaho…
math.QA2024
Generalized Double Affine Hecke Algebra for Double Torus
Kazuhiro Hikami
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 relationshi…