English

Askey-Wilson polynomial and genus-two skein module

Quantum Algebra 2025-07-03 v1 Mathematical Physics Geometric Topology math.MP

Abstract

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 handlebody.

Cite

@article{arxiv.2507.01665,
  title  = {Askey-Wilson polynomial and genus-two skein module},
  author = {Kazuhiro Hikami},
  journal= {arXiv preprint arXiv:2507.01665},
  year   = {2025}
}

Comments

10 pages, 1 figure

R2 v1 2026-07-01T03:43:10.329Z