Cable links and l-space surgeries
- Author(s): Gorsky, E
- Hom, J
- et al.
Published Web Locationhttps://doi.org/10.4171/QT/98
© European Mathematical Society. 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  regarding the structure of HFL for.n; n/ torus links.