Cable links and L-space surgeries
Eugene Gorsky
University of California at Davis, USAJennifer Hom
Georgia Institute of Technology, Atlanta, USA
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Abstract
An L-space link is a link in on which all sufficiently large integral surgeries are L-spaces. We prove that for relatively prime, the -component cable link is an L-space link if and only if is an L-space knot and . We also compute and 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 for torus links.
Cite this article
Eugene Gorsky, Jennifer Hom, Cable links and L-space surgeries. Quantum Topol. 8 (2017), no. 4, pp. 629–666
DOI 10.4171/QT/98