Heegaard Floer homology of L-space links with two components

Abstract

We compute different versions of link Floer homology $HF{L}^{-}$ 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.

23 pages

References in corpus (4)

• $L$-space surgeries on links
• On the knot Floer homology of twisted torus knots
• Links of plane curve singularities are L-space links
• On the link Floer homology of $L$-space links

Cited by in corpus (2)

• Fibered and strongly quasi-positive $L$-space links
• L-space surgeries on 2-component L-space links