Algebraic & Geometric Topology

Computing knot Floer homology in cyclic branched covers

Adam Simon Levine

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We use grid diagrams to give a combinatorial algorithm for computing the knot Floer homology of the pullback of a knot KS3 in its m–fold cyclic branched cover Σm(K), and we give computations when m=2 for over fifty three-bridge knots with up to eleven crossings.

Article information

Algebr. Geom. Topol., Volume 8, Number 2 (2008), 1163-1190.

Received: 9 December 2007
Revised: 4 March 2008
Accepted: 5 March 2008
First available in Project Euclid: 20 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57R58: Floer homology
Secondary: 57M12: Special coverings, e.g. branched 57M27: Invariants of knots and 3-manifolds

Knot Floer homology Branched cover


Levine, Adam Simon. Computing knot Floer homology in cyclic branched covers. Algebr. Geom. Topol. 8 (2008), no. 2, 1163--1190. doi:10.2140/agt.2008.8.1163.

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