English

Kauffman bracket skein algebra of the 4-holed disk

Geometric Topology 2025-08-05 v2 Quantum Algebra

Abstract

We give a monomial basis for the Kauffman bracket skein algebra of the 44-holed disk, and find a presentation. This is based on an insight into the SL(2,C){\rm SL}(2,\mathbb{C})-character variety of the rank 44 free group.

Keywords

Cite

@article{arxiv.2411.15829,
  title  = {Kauffman bracket skein algebra of the 4-holed disk},
  author = {Haimiao Chen},
  journal= {arXiv preprint arXiv:2411.15829},
  year   = {2025}
}

Comments

18 pages, 10 figures. Final version. Accepted by JPAA