Contact surgeries and the transverse invariant in knot Floer homology

Peter Ozsváth, A. Stipsicz

Research output: Contribution to journalArticle

16 Citations (Scopus)

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
Pages (from-to)601-632
Number of pages32
JournalJournal of the Institute of Mathematics of Jussieu
Volume9
Issue number3
DOIs
Publication statusPublished - Jul 2010

Fingerprint

Floer Homology
Surgery
Knot
Transverse
Contact
Invariant
Twist
Odd

Keywords

  • Heegaard Floer homology
  • Legendrian knots
  • transverse knots

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Contact surgeries and the transverse invariant in knot Floer homology. / Ozsváth, Peter; Stipsicz, A.

In: Journal of the Institute of Mathematics of Jussieu, Vol. 9, No. 3, 07.2010, p. 601-632.

Research output: Contribution to journalArticle

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