Heegaard Floer homology of L-space links with two components

Beibei Liu

doi:10.2140/pjm.2019.298.83

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arXiv · 1704.02538

Heegaard Floer homology of L-space links with two components

Beibei Liu

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Abstract

We compute different versions of link Floer homology $HFL^{-}$ and $\widehat{HFL}$ for any $L$-space link with two components. The main approach is to compute the $h$-function of the filtered chain complex which is determined by the Alexander polynomials of every sublink of the $L$-space link. As an application, Thurston polytope and Thurston norm of any 2-component $L$-space link are explicitly determined by Alexander polynomials of the link and the link components.

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BibTeX RIS

Beibei Liu. 2017-04-08. Heegaard Floer homology of L-space links with two components. https://doi.org/10.2140/pjm.2019.298.83

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