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arXiv · 2311.06556

A survey on skein modules via braids

Ioannis Diamantis
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Abstract

In this paper we present recent results on the computation of skein modules of 3-manifolds using braids and appropriate knot algebras. Skein modules generalize knot polynomials in $S^3$ to knot polynomials in arbitrary 3-manifolds and they have become extremely essential algebraic tools in the study of 3-manifolds. In this paper we present the braid approach to the HOMFLYPT and the Kauffman bracket skein modules of the Solid Torus ST and the lens spaces $L(p,1)$ and $S^1\times S^2$.

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Ioannis Diamantis. 2023-11-11. A survey on skein modules via braids. https://arxiv.org/abs/2311.06556

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