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

Ioannis Diamantis

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arXiv · 1809.08424

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

Ioannis Diamantis

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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.

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BibTeX RIS

Ioannis Diamantis. 2018-09-22. An alternative basis for the Kauffman bracket skein module of the Solid Torus via braids. https://arxiv.org/abs/1809.08424

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