3 papers
math.GT2018
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…
math.GT2018
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…
math.GT2018
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…