Cable links and L-space surgeries

2015/02/18 by Gorsky, Eugene, Hom, Jennifer · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1502.05425

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 K_rm,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-minus and HFL-hat 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-hat for (n,n) torus links.

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