Concordance homomorphisms from knot Floer homology

Peter S. Ozsváth, András I. Stipsicz, Zoltán Szabó

Research output: Contribution to journalArticlepeer-review

83 Scopus citations


We modify the construction of knot Floer homology to produce a one-parameter family of homologies tHFK for knots in S3. These invariants can be used to give homomorphisms from the smooth concordance group C to Z, giving bounds on the four-ball genus and the concordance genus of knots. We give some applications of these homomorphisms.

Original languageEnglish (US)
Pages (from-to)366-426
Number of pages61
JournalAdvances in Mathematics
StatePublished - Jul 31 2017

All Science Journal Classification (ASJC) codes

  • General Mathematics


  • Concordance
  • Knot
  • Knot Floer homology
  • Knot homology


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