Concordance surgery and the Ozsváth–Szabó 4-manifold invariant
András Juhász
University of Oxford, UKIan Zemke
Princeton University, USA
![Concordance surgery and the Ozsváth–Szabó 4-manifold invariant cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-25-issue-3.png&w=3840&q=90)
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