Mathematical Research Letters

Volume 28 (2021)

Number 3

Knot Floer homology and strongly homotopy-ribbon concordances

Pages: 849 – 861

DOI: https://dx.doi.org/10.4310/MRL.2021.v28.n3.a9

Authors

Maggie Miller (Department of Mathematics, Princeton University, Princeton, New Jersey, U.S.A.)

Ian Zemke (Department of Mathematics, Princeton University, Princeton, New Jersey, U.S.A.)

Abstract

We prove that the map on knot Floer homology induced by a strongly homotopy-ribbon concordance is injective. One application is that the Seifert genus is monotonic under strongly homotopy-ribbon concordance.

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Maggie Miller was supported by NSF grant DGE-1656466. Ian Zemke was supported by NSF grant DMS-1703685.

Received 13 June 2019

Accepted 22 August 2019

Published 2 June 2021