Abstract

Author(s): Gorsky, E; Hom, J | Abstract: An L-space link is a link in S3 on which all sufficiently large integral surgeries are L-spaces. We prove that for m; n relatively prime, the r-component cable link Krm;rn is an L-space link if and only if K is an L-space knot and n/m ≥2g.K/ - 1. We also compute HFL– and HFL of an L-space cable link in terms of its Alexander polynomial. As an application, we confirm a conjecture of Licata [7] regarding the structure of HFL for.n; n/ torus links.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call