Computing Knot Floer Homology in Cyclic Branched Covers

Details Computing Knot Floer Homology in Cyclic Branched Covers Computing Knot Floer Homology in Cyclic Branched Covers

2007-09-10

arxiv.org/abs/0709.1427v2

Mathematics

Geometric Topology

30 pages, 2 figures, 1 long table. Added computations in Section 5; rewrote Section 6; corrected typos and minor mistakes

Scientific paper

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

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