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Ribbon Homology Cobordisms and Link Floer Homology (2111.09925v2)
Published 18 Nov 2021 in math.GT
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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