Ribbon Homology Cobordisms and Link Floer Homology

Gary Guth

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arXiv · 2111.09925

Ribbon Homology Cobordisms and Link Floer Homology

Gary Guth

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Abstract

We make use of link Floer homology to study cobordisms between links embedded in 4-dimensional ribbon homology cobordisms. Combining results of Daemi--Lidman--Vela-Vick--Wong and Zemke, we show that ribbon homology concordances induce split injections on $\mathcal{HFL}^-$. We also make use of the torsion submodule of $\text{HFL}^-$ to give restrictions on the number of critical points in ribbon homology concordances.

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Gary Guth. 2021-11-18. Ribbon Homology Cobordisms and Link Floer Homology. https://arxiv.org/abs/2111.09925

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