Computing knot Floer homology in cyclic branched covers

Adam Simon Levine

Research output: Contribution to journalArticle

9 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1163-1190
Number of pages28
JournalAlgebraic and Geometric Topology
Volume8
Issue number2
DOIs
StatePublished - Dec 1 2008

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

Keywords

  • Branched cover
  • Knot floer homology

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