Contact surgeries and the transverse invariant in knot Floer homology

Peter Ozsváth, András I. Stipsicz

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

We study naturality properties of the transverse invariant in knot Floer homology under contact (+1)-surgery. This can be used as a calculational tool for the transverse invariant. As a consequence, we show that the Eliashberg-Chekanov twist knots En are not transversely simple for n odd and n > 3.

Original languageEnglish (US)
Pages (from-to)601-632
Number of pages32
JournalJournal of the Institute of Mathematics of Jussieu
Volume9
Issue number3
DOIs
StatePublished - Jul 2010

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Keywords

  • Heegaard Floer homology
  • Legendrian knots
  • transverse knots

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