We compute different versions of link Floer homology HFL⁻ and 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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Beibei Liu (2019) studied this question.
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