Concordance surgery and the Ozsv\'ath-Szab\'o 4-manifold invariant

András Juhász; Ian Zemke

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arXiv · 1804.06221

Concordance surgery and the Ozsv\'ath-Szab\'o 4-manifold invariant

András Juhász·Ian Zemke

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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 Ozsv\'ath-Szab\'o 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.

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András Juhász, Ian Zemke. 2018-04-17. Concordance surgery and the Ozsv\'ath-Szab\'o 4-manifold invariant. https://arxiv.org/abs/1804.06221

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