2013 · 20 citations · 24 references
Natural SciencesPathologyTopologyFundamental GroupKnot TheoryLow-dimensional Topology
Abstract. We apply knot Floer homology to exhibit an infinite family of transversely nonsimple prime knots starting with 10132. We also discuss the combinatorial relationship between grid diagrams, braids, and Legendrian and transverse knots in standard contact R 3. 1.
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Holomorphic disks and knot invariants
Peter Ozsváth, Zoltán Szabó · Advances in Mathematics · 2003 · 797 citations
Floer homology and knot complements
Jacob Rasmussen · ArXiv.org · 2003 · 527 citations · Full text
A combinatorial description of knot Floer homology
Ciprian Manolescu, Peter Ozsváth, Sucharit Sarkar · Annals of Mathematics · 2009 · 218 citations · Full text