Vol. 298, No. 1, 2019

 Recent Issues Vol. 300: 1 Vol. 299: 1  2 Vol. 298: 1  2 Vol. 297: 1  2 Vol. 296: 1  2 Vol. 295: 1  2 Vol. 294: 1  2 Vol. 293: 1  2 Online Archive Volume: Issue:
 The Journal Subscriptions Editorial Board Officers Special Issues Submission Guidelines Submission Form Contacts Author Index To Appear ISSN: 1945-5844 (e-only) ISSN: 0030-8730 (print) Other MSP Journals
Heegaard Floer homology of $L$-space links with two components

Beibei Liu

Vol. 298 (2019), No. 1, 83–112
DOI: 10.2140/pjm.2019.298.83
Abstract

We compute different versions of link Floer homology ${HFL}^{-}$ and $\stackrel{̂}{HFL}$ 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 Alexander polynomials of all sublinks of the $L$-space link. As an application, the Thurston norm of its complement is explicitly determined by Alexander polynomials of the link and its components.

Keywords
$L$-space links, link Floer homology, Thurston polytopes
Primary: 57M99