Links of plane curve singularities are L–space links

Gorsky, Eugene; Némethi, András

doi:10.2140/agt.2016.16.1905

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Links of plane curve singularities are $L$–space links

Eugene Gorsky and András Némethi

Algebraic & Geometric Topology 16 (2016) 1905–1912

DOI: 10.2140/agt.2016.16.1905

Abstract

We prove that a sufficiently large surgery on any algebraic link is an $L$ –space. For torus links we give a complete classification of integer surgery torus links we give a complete classification of integer surgery coefficients providing $L$ –spaces.

Keywords

Heegaard–Floer homology, algebraic link, $L$–space

Mathematical Subject Classification 2010

Primary: 14H20, 57M27

References

Publication

Received: 15 May 2014

Revised: 26 September 2015

Accepted: 11 December 2015

Published: 12 September 2016

Authors

Eugene Gorsky
Department of Mathematics University of California, Davis One Shields Avenue Davis, CA 95616 United States	International Laboratory of Representation Theory and Mathematical Physics NRU-HSE Vavilova 7, Moscow Russia

András Némethi
Algebraic Geometry and Differential Topology Alfréd Rényi Institute of Mathematics Reáltanoda u. 13-15 Budapest, 1053 Hungary

Volume 16, issue 4 (2016)