47 citations · 214 across the 26 of their papers we have counts for
5 papers · 1 filter
Stabilization distance bounds from link Floer homology
András Juhász, Ian Zemke
We consider the set of connected surfaces in the 4-ball with boundary a fixed knot in the 3-sphere. We define the stabilization distance between two surfaces as the minimal suc…
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…
Concordance surgery and the Ozsváth-Szabó 4-manifold invariant
András Juhász, Ian Zemke
We compute the effect of concordance surgery, a generalization of knot surgery defined using a self-concordance of a knot, on the Ozsváth-Szabó 4-manifold invariant. The formula in…
Contact handles, duality, and sutured Floer homology
András Juhász, Ian Zemke
We give an explicit construction of the Honda--Kazez--Matić gluing maps in terms of contact handles. We use this to prove a duality result for turning a sutured manifold cobordism…
Duality and mapping tori in Heegaard Floer homology
Ian Zemke
We show that the graph TQFT for Heegaard Floer homology satisfies a strong version of Atiyah's duality axiom for a TQFT. As an application, we compute some Heegaard Floer mixed inv…