Ribbon Homology Cobordisms and Link Floer Homology

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 HFL − . We also make use of the torsion submodule of HFL − to give restrictions on the number of critical points in ribbon homology concordances.