Concordance surgery and the Ozsváth–Szabó 4-manifold invariant

András Juhász, Ian Zemke

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We compute the effect of concordance surgery, a generalization of knot surgery defined using a self-concordance of a knot, on the Ozsváth–Szabó 4-manifold invariant. The formula involves the graded Lefschetz number of the concordance map on knot Floer homology. The proof uses the sutured Floer TQFT, and a version of sutured Floer homology perturbed by a 2-form.

Original languageEnglish (US)
Pages (from-to)995-1044
Number of pages50
JournalJournal of the European Mathematical Society
Issue number3
StatePublished - 2023

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


  • 4-manifolds
  • Heegaard Floer homology
  • concordance


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