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Heegaard Floer homology of L-space links with two components

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arxiv 1704.02538 v1 pith:WXKME2XA submitted 2017-04-08 math.GT

classification math.GT
keywords linkcomponentsspacealexandercomputedeterminedfloerhomology
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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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  1. Fractional Dehn twist coefficients and rank bounds for categorified link invariants

    math.GT 2026-08 conditional novelty 7.0 of 10

    Fibered links whose monodromy twists many times around a boundary component have large next-to-top link Floer homology, and braid closures with large fractional Dehn twist coefficient have large annular Khovanov homology.

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