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- W4299494121 abstract "In this paper we present recent results toward the computation of the HOMFLYPT skein module of the lens spaces $L(p,1)$, $mathcal{S}left(L(p,1) right)$, via braids. Our starting point is the knot theory of the solid torus ST and the Lambropoulou invariant, $X$, for knots and links in ST, the universal analogue of the HOMFLYPT polynomial in ST. The relation between $mathcal{S}left(L(p,1) right)$ and $mathcal{S}({rm ST})$ is established in cite{DLP} and it is shown that in order to compute $mathcal{S}left(L(p,1) right)$, it suffices to solve an infinite system of equations obtained by performing all possible braid band moves on elements in the basis of $mathcal{S}({rm ST})$, $Lambda$, presented in cite{DL2}. The solution of this infinite system of equations is very technical and is the subject of a sequel paper cite{DL3}." @default.
- W4299494121 created "2022-10-02" @default.
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- W4299494121 date "2017-02-21" @default.
- W4299494121 modified "2023-09-27" @default.
- W4299494121 title "The braid approach to the HOMFLYPT skein module of the lens spaces $L(p,1)$" @default.
- W4299494121 doi "https://doi.org/10.48550/arxiv.1702.06290" @default.
- W4299494121 hasPublicationYear "2017" @default.
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