150 citations · 388 across the 12 of their papers we have counts for
12 papers
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…
Concordance maps in knot Floer homology
Andras Juhasz, Marco Marengon
We show that a decorated knot concordance from to induces a homomorphism on knot Floer homology that preserves the Alexander and Maslov gradings. Furthermore, it…
A survey of Heegaard Floer homology
Andras Juhasz
This work has two goals. The first is to provide a conceptual introduction to Heegaard Floer homology, the second is to survey the current state of the field, without aiming for co…
On sutured Floer homology and the equivalence of Seifert surfaces
Matthew Hedden, Andras Juhasz, Sucharit Sarkar
We study the sutured Floer homology invariants of the sutured manifold obtained by cutting a knot complement along a Seifert surface, R. We show that these invariants are finer tha…
The sutured Floer homology polytope
Andras Juhasz
In this paper, we extend the theory of sutured Floer homology developed by the author. We first prove an adjunction inequality, and then define a polytope P(M,g) in H^2(M,\partial…