JournalsjemsVol. 25, No. 3pp. 995–1044

Concordance surgery and the Ozsváth–Szabó 4-manifold invariant

  • András Juhász

    University of Oxford, UK

  • Ian Zemke

    Princeton University, USA
Concordance surgery and the Ozsváth–Szabó 4-manifold invariant cover
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Abstract

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.

Cite this article

András Juhász, Ian Zemke, Concordance surgery and the Ozsváth–Szabó 4-manifold invariant. J. Eur. Math. Soc. 25 (2023), no. 3, pp. 995–1044

DOI 10.4171/JEMS/1203