68 citations · 186 across the 11 of their papers we have counts for
15 papers · 1 filter
The signature and cusp geometry of hyperbolic knots
Alex Davies, András Juhász, Marc Lackenby +1
We introduce a new real-valued invariant called the natural slope of a hyperbolic knot in the 3-sphere, which is defined in terms of its cusp geometry. We show that twice the knot…
Transverse invariants and exotic surfaces in the 4-ball
András Juhász, Maggie Miller, Ian Zemke
Using 1-twist rim surgery, we construct infinitely many smoothly embedded, orientable surfaces in the 4-ball bounding a knot in the 3-sphere that are pairwise topologically isotopi…
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…
Functoriality of the EH class and the LOSS invariant under Lagrangian concordances
Marco Golla, András Juhász
We show that the EH class and the LOSS invariant of Legendrian knots in contact 3-manifolds are functorial under regular Lagrangian concordances in Weinstein cobordisms. This gives…
Spectral order for contact manifolds with convex boundary
András Juhász, Sungkyung Kang
We extend the Heegaard Floer homological definition of spectral order for closed contact 3-manifolds due to Kutluhan, Matić, Van Horn-Morris, and Wand to contact 3-manifolds with c…
Computing cobordism maps in link Floer homology and the reduced Khovanov TQFT
András Juhász, Marco Marengon
We study the maps induced on link Floer homology by elementary decorated link cobordisms. We compute these for births, deaths, stabilizations, and destabilizations, and show that s…
Defining and classifying TQFTs via surgery
András Juhász
We give a presentation of the -dimensional oriented cobordism category with generators corresponding to diffeomorphisms and surgeries along framed spheres, and a…
Sutured Floer homology, fibrations, and taut depth one foliations
Irida Altman, Stefan Friedl, András Juhász
For an oriented irreducible 3-manifold M with non-empty toroidal boundary, we describe how sutured Floer homology () can be used to determine all fibered classes in .…
Naturality and mapping class groups in Heegaard Floer homology
András Juhász, Dylan P. Thurston, Ian Zemke
We show that all versions of Heegaard Floer homology, link Floer homology, and sutured Floer homology are natural. That is, they assign concrete groups to each based 3-manifold, ba…
Sutured Floer homology and hypergraphs
András Juhász, Tamás Kálmán, Jacob Rasmussen
By applying Seifert's algorithm to a special alternating diagram of a link L, one obtains a Seifert surface F of L. We show that the support of the sutured Floer homology of the su…
Cobordisms of sutured manifolds and the functoriality of link Floer homology
András Juhász
It has been a central open problem in Heegaard Floer theory whether cobordisms of links induce homomorphisms on the associated link Floer homology groups. We provide an affirmative…
The decategorification of sutured Floer homology
Stefan Friedl, András Juhász, Jacob Rasmussen
We define a torsion invariant T for every balanced sutured manifold (M,g), and show that it agrees with the Euler characteristic of sutured Floer homology SFH. The invariant T is e…