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Concordance surgery and the Ozsváth-Szabó 4-manifold invariant - MaRDI portal

Concordance surgery and the Ozsváth-Szabó 4-manifold invariant (Q6160162)

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scientific article; zbMATH DE number 7683505
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Concordance surgery and the Ozsváth-Szabó 4-manifold invariant
scientific article; zbMATH DE number 7683505

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    Concordance surgery and the Ozsváth-Szabó 4-manifold invariant (English)
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    9 May 2023
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    Summary: 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.
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    Heegaard Floer homology
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    4-manifolds
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    concordance
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