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2008 Computing knot Floer homology in cyclic branched covers
Adam Simon Levine
Algebr. Geom. Topol. 8(2): 1163-1190 (2008). DOI: 10.2140/agt.2008.8.1163

Abstract

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.

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Adam Simon Levine. "Computing knot Floer homology in cyclic branched covers." Algebr. Geom. Topol. 8 (2) 1163 - 1190, 2008. https://doi.org/10.2140/agt.2008.8.1163

Information

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

zbMATH: 1160.57010
MathSciNet: MR2443111
Digital Object Identifier: 10.2140/agt.2008.8.1163

Subjects:
Primary: 57R58
Secondary: 57M12, 57M27

Rights: Copyright © 2008 Mathematical Sciences Publishers

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