- journal article metadata
European Mathematical Society Publishing House
2017-12-09 23:40:02
Quantum Topology
Quantum Topol.
QT
1663-487X
1664-073X
General
10.4171/QT
http://www.ems-ph.org/doi/10.4171/QT
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
8
2017
4
Cable links and L-space surgeries
Eugene
Gorsky
University of California at Davis, USA
Jennifer
Hom
Georgia Institute of Technology, Atlanta, USA
Cable link, L-space, surgery, Heegaard Floer homology
An L-space link is a link in $S^3$ 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 $n/m \geq 2g(K)-1$. We also compute $\mathrm {HFL}^–$ and $\widehat {\mathrm {HFL}}$ 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 $\widehat {\mathrm {HFL}}$ for $(n,n)$ torus links.
Manifolds and cell complexes
629
666
10.4171/QT/98
http://www.ems-ph.org/doi/10.4171/QT/98
12
6
2017