Heegaard Floer homology of L-space links with two components
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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2017
- DOI:
- 10.48550/arXiv.1704.02538
- arXiv:
- arXiv:1704.02538
- Bibcode:
- 2017arXiv170402538L
- Keywords:
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- Mathematics - Geometric Topology
- E-Print:
- 23 pages