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arXiv · 0709.1427

Computing Knot Floer Homology in Cyclic Branched Covers

Adam Simon Levine
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Abstract

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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BibTeXRIS

Adam Simon Levine. 2007-12-09. Computing Knot Floer Homology in Cyclic Branched Covers. https://doi.org/10.2140/agt.2008.8.1163

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