Algebraic & Geometric Topology

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

Eugene Gorsky and András Némethi

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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.

Article information

Algebr. Geom. Topol., Volume 16, Number 4 (2016), 1905-1912.

Received: 15 May 2014
Revised: 26 September 2015
Accepted: 11 December 2015
First available in Project Euclid: 28 November 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 14H20: Singularities, local rings [See also 13Hxx, 14B05] 57M27: Invariants of knots and 3-manifolds

Heegaard–Floer homology algebraic link $L$–space


Gorsky, Eugene; Némethi, András. Links of plane curve singularities are $L$–space links. Algebr. Geom. Topol. 16 (2016), no. 4, 1905--1912. doi:10.2140/agt.2016.16.1905.

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