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.
Original language | English (US) |
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Pages (from-to) | 995-1044 |
Number of pages | 50 |
Journal | Journal of the European Mathematical Society |
Volume | 25 |
Issue number | 3 |
DOIs | |
State | Published - 2023 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
Keywords
- 4-manifolds
- Heegaard Floer homology
- concordance