Concordance surgery and the Ozsváth–Szabó 4-manifold invariant

Author: 

JUHASZ, A
Zemke, I

Publication Date: 

17 December 2020

Journal: 

Journal of the European Mathematical Society

Last Updated: 

2021-10-11T09:25:23.717+01:00

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.

Symplectic id: 

1109159

Submitted to ORA: 

Submitted

Publication Type: 

59