Volume 8, issue 2 (2008)

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Computing knot Floer homology in cyclic branched covers

Adam Simon Levine

Algebraic & Geometric Topology 8 (2008) 1163–1190
Abstract

We use grid diagrams to give a combinatorial algorithm for computing the knot Floer homology of the pullback of a knot K S3 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.

Keywords
Knot Floer homology, Branched cover
Mathematical Subject Classification 2000
Primary: 57R58
Secondary: 57M12, 57M27
References
Publication
Received: 9 December 2007
Revised: 4 March 2008
Accepted: 5 March 2008
Published: 25 July 2008
Authors
Adam Simon Levine
Department of Mathematics
Columbia University
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