## Geometry & Topology

### On combinatorial link Floer homology

#### Abstract

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

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

Dates
Accepted: 12 June 2007
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.gt/1513799984

Digital Object Identifier
doi:10.2140/gt.2007.11.2339

Mathematical Reviews number (MathSciNet)
MR2372850

Zentralblatt MATH identifier
1155.57030

Keywords
Floer homology

#### Citation

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. https://projecteuclid.org/euclid.gt/1513799984

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