47 citations · 214 across the 26 of their papers we have counts for
4 papers · 1 filter
Knot cobordisms, bridge index, and torsion in Floer homology
András Juhász, Maggie Miller, Ian Zemke
Given a connected cobordism between two knots in the 3-sphere, our main result is an inequality involving torsion orders of the knot Floer homology of the knots, and the number of…
Knot Floer homology and strongly homotopy-ribbon concordances
Maggie Miller, Ian Zemke
We prove that the map on knot Floer homology induced by a strongly homotopy-ribbon concordance is injective.
Khovanov homology and ribbon concordance
Adam Simon Levine, Ian Zemke
We show that a ribbon concordance between two links induces an injective map on Khovanov homology.
Knot Floer homology obstructs ribbon concordance
Ian Zemke
We prove that the map on knot Floer homology induced by a ribbon concordance is injective. As a consequence, we prove that the Seifert genus is monotonic under ribbon concordance.…