An alternative basis for the Kauffman bracket skein module of the Solid Torus via braids

Ioannis Diamantis

An alternative basis for the Kauffman bracket skein module of the Solid Torus via braids

Geometric Topology 2018-09-25 v1

Authors: Ioannis Diamantis

Abstract

In this paper we give an alternative basis, $\mathcal{B}_{\rm ST}$ , for the Kauffman bracket skein module of the solid torus, ${\rm KBSM}\left({\rm ST}\right)$ . The basis $\mathcal{B}_{\rm ST}$ is obtained with the use of the Tempereley--Lieb algebra of type B and it is appropriate for computing the Kauffman bracket skein module of the lens spaces $L(p, q)$ via braids.

Keywords

kauffman bracket skein module solid torus alternative basis temperley-lieb algebra braids lens spaces

Cite

@article{arxiv.1809.08424,
  title  = {An alternative basis for the Kauffman bracket skein module of the Solid Torus via braids},
  author = {Ioannis Diamantis},
  journal= {arXiv preprint arXiv:1809.08424},
  year   = {2018}
}

Comments

14 pages, 5 figures

Related papers

View all related →