Ribbon Homology Cobordisms and Link Floer Homology

2021/11/18 by Guth, Gary
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2111.09925

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.

Related

• Ribbon homology cobordisms
• Link homology theories and ribbon concordances
• Khovanov homology and cobordisms between split links
• Knot Floer homology and strongly homotopy-ribbon concordances
• Homology cobordism, knot concordance, and Heegaard Floer homology