3 citations · 3 across the 2 of their papers we have counts for
8 papers
A note on PL-disks and rationally slice knots
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We give infinitely many examples of manifold-knot pairs (Y, J) such that Y bounds an integer homology ball, J does not bound a non-locally-flat PL-disk in any integer homology ball…
New Heegaard Floer slice genus and clasp number bounds
András Juhász, Ian Zemke
We define several concordance invariants using knot Floer homology which give improvements over known slice genus and clasp number bounds from Heegaard Floer homology. We also prov…
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.
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.…
Distinguishing slice disks using knot Floer homology
András Juhász, Ian Zemke
We study the classification of slice disks of knots up to isotopy and diffeomorphism using an invariant in knot Floer homology. We compute the invariant of a slice disk obtained by…