Geometry & Topology

On combinatorial link Floer homology

Ciprian Manolescu, Peter Ozsváth, Zoltán Szabó, and Dylan P Thurston

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Link Floer homology is an invariant for links defined using a suitable version of Lagrangian Floer homology. In an earlier paper, this invariant was given a combinatorial description with mod 2 coefficients. In the present paper, we give a self-contained presentation of the basic properties of link Floer homology, including an elementary proof of its invariance. We also fix signs for the differentials, so that the theory is defined with integer coefficients.

Article information

Geom. Topol., Volume 11, Number 4 (2007), 2339-2412.

Received: 2 November 2006
Accepted: 12 June 2007
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57R58: Floer homology 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}

Floer homology


Manolescu, Ciprian; Ozsváth, Peter; Szabó, Zoltán; Thurston, Dylan P. On combinatorial link Floer homology. Geom. Topol. 11 (2007), no. 4, 2339--2412. doi:10.2140/gt.2007.11.2339.

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