Geodesic
Links of plane curve singularities are L–space links
Gorsky, Eugene1 ; Némethi, András2
1Department 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
2Algebraic Geometry and Differential Topology, Alfréd Rényi Institute of Mathematics, Reáltanoda u. 13-15, Budapest, 1053, Hungary
Algebraic and Geometric Topology, Tome 16 (2016) no. 4, pp. 1905-1912
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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.

DOI : 10.2140/agt.2016.16.1905
Classification : 14H20, 57M27
Keywords: Heegaard–Floer homology, algebraic link, $L$–space

Gorsky, Eugene  1   ; Némethi, András  2

1 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
2 Algebraic Geometry and Differential Topology, Alfréd Rényi Institute of Mathematics, Reáltanoda u. 13-15, Budapest, 1053, Hungary 
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Gorsky, Eugene; Némethi, András. Links of plane curve singularities are L–space links. Algebraic and Geometric Topology, Tome 16 (2016) no. 4, pp. 1905-1912. doi: 10.2140/agt.2016.16.1905

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