Geodesic
Computing knot Floer homology in cyclic branched covers
Levine, Adam Simon1
1Department of Mathematics, Columbia University, 2990 Broadway, New York, NY 10027, USA
Algebraic and Geometric Topology, Tome 8 (2008) no. 2, pp. 1163-1190
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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 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.

DOI : 10.2140/agt.2008.8.1163
Keywords: Knot Floer homology, Branched cover

Levine, Adam Simon  1

1 Department of Mathematics, Columbia University, 2990 Broadway, New York, NY 10027, USA 
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Levine, Adam Simon. Computing knot Floer homology in cyclic branched covers. Algebraic and Geometric Topology, Tome 8 (2008) no. 2, pp. 1163-1190. doi: 10.2140/agt.2008.8.1163

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