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Cable links and L-space surgeries
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https://doi.org/10.4171/qt/98Abstract
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.
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