857 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Hungarian Academy of SciencesHU402 papers
- Eötvös Loránd UniversityHU156 papers
- Budapest University of Technology and EconomicsHU58 papers
- Central European UniversityAT42 papers
- École Polytechnique Fédérale de LausanneCH31 papers
- Central European University - Budapest Campus24 papers
- University of PannoniaHU23 papers
- Centre National de la Recherche ScientifiqueFR21 papers
- University College LondonGB20 papers
- University of SzegedHU20 papers
- University of Illinois Urbana-ChampaignUS18 papers
- Charles UniversityCZ15 papers
41 papers · 1 filter
Minimal rational graphs admitting a QHD smoothing
Márton Beke
Using the picture deformation technique of De Jong-Van Straten we show that no singularity whose resolution graph has 3 or 4 large nodes, i.e., nodes satisfying d(v)+e(v)\leq -2, h…
Taut foliations from knot diagrams
Diego Santoro
We prove that knots in satisfying certain diagrammatic properties are persistently foliar. As a consequence, all their non-trivial surgeries support coorientable taut foliati…
Unknotting number 21 knots are slice in K3
Marco Marengon, Stefan Mihajlović
We prove that all knots with unknotting number at most 21 are smoothly slice in the K3 surface. We also prove a more general statement for 4-manifolds that contain a plumbing tree…
Surface slices and homology spheres
Clayton McDonald
We develop the theory of the diagrammatics of surface cross sections to prove that there are an infinite number of homology 3-spheres smoothly embeddable in a homology 4-sphere but…
Concordance of decompositions given by defining sequences
Boldizsar Kalmar
We study the concordance and bordism of decompositions associated with defining sequences and we relate them to some invariants of toroidal decompositions and to the cobordism of h…
Monopoles, twisted integral homology, and Hirsch algebras
Francesco Lin, Mike Miller Eismeier
We provide an explicit computation over the integers of the bar version of the monopole Floer homology of a three-manifold in terms of a new invariant associated…
On homology torsion growth
Miklos Abert, Nicolas Bergeron, Mikolaj Fraczyk +1
We prove new vanishing results on the growth of higher torsion homologies for suitable arithmetic lattices, Artin groups and mapping class groups. The growth is understood along Fa…
A note on thickness of knots
Andras I. Stipsicz, Zoltan Szabo
We introduce a numerical invariant β(K) of a knot K which measures how non-alternating K is. We prove an inequality between β(K) and the (knot Floer) thickness of K. As an applicat…
Non-orientable link cobordisms and torsion order in Floer homologies
Sherry Gong, Marco Marengon
We use unoriented versions of instanton and knot Floer homology to prove inequalities involving the Euler characteristic and the number of local maxima appearing in unorientable co…
Purely cosmetic surgeries and pretzel knots
András I. Stipsicz, Zoltán Szabó
We show that all pretzel knots satisfy the (purely) cosmetic surgery conjecture, i.e. Dehn surgeries with different slopes along a pretzel knot provide different oriented three-man…
Branched covers bounding rational homology balls
Paolo Aceto, Jeffrey Meier, Allison N. Miller +3
Prime power fold cyclic branched covers along smoothly slice knots all bound rational homology balls. This phenomenon, however, does not characterize slice knots. In this paper, we…
Upsilon invariants from cyclic branched covers
Antonio Alfieri, Daniele Celoria, Andras Stipsicz
We extend the construction of upsilon-type invariants to null-homologous knots in rational homology three-spheres. By considering -fold cyclic branched covers with a prime p…
Fold cobordisms and a Poincare-Hopf type theorem for the signature
Boldizsar Kalmar
We give complete geometric invariants of cobordisms of framed fold maps. These invariants consist of two types. We take the immersion of the fold singular set into the target manif…
Slice-torus concordance invariants and Whitehead doubles of links
Alberto Cavallo, Carlo Collari
In the present paper we extend the definition of slice-torus invariant to links. We prove a few properties of the newly-defined slice-torus link invariants: the behaviour under cro…
Transverse link invariants from the deformations of Khovanov -homology
Carlo Collari
In this paper we will make use of the Mackaay-Vaz approach to the universal -homology to define a family of cycles (called -invariants) which are transverse b…
Linear independence in the rational homology cobordism group
Marco Golla, Kyle Larson
We give simple homological conditions for a rational homology 3-sphere Y to have infinite order in the rational homology cobordism group, and for a collection of rational homology…
On sums of torus knots concordant to alternating knots
Paolo Aceto, Antonio Alfieri
We consider the question, asked by Friedl, Livingston and Zentner, of which sums of torus knots are concordant to alternating knots. After a brief analysis of the problem in its fu…
Upsilon type concordance invariants
Antonio Alfieri
To a region of the plane satisfying a suitable convexity condition we associate a knot concordance invariant . For appropriate choices of the domain this construction give…
Interlacement of double curves of immersed spheres
Boldizsar Kalmar
We characterize those unions of embedded disjoint circles in the 2-sphere which can be the multiple point set of a generic immersion of the 2-sphere into 3-dimensional space in ter…
Non-normal affine monoids, modules and Poincaré series of plumbed 3-manifolds
Tamás László, Zsolt Szilágyi
We construct a non-normal affine monoid together with its modules associated with a negative definite plumbed -manifold . In terms of their structure, we describe the $H_1(M,…
Handle decompositions of rational balls and Casson-Gordon invariants
Paolo Aceto, Marco Golla, Ana G. Lecuona
Given a rational homology sphere which bounds rational homology balls, we investigate the complexity of these balls as measured by the number of 1-handles in a handle decomposition…
Embedding 3-manifolds in spin 4-manifolds
Paolo Aceto, Marco Golla, Kyle Larson
An invariant of orientable 3-manifolds is defined by taking the minimum such that a given 3-manifold embeds in the connected sum of copies of , and we call…
Unimodular measures on the space of all Riemannian manifolds
Miklos Abert, Ian Biringer
We study unimodular measures on the space of all pointed Riemannian -manifolds. Examples can be constructed from finite volume manifolds, from measured foliations…
The concordance invariant tau in link grid homology
Alberto Cavallo
We introduce a generalization of the Ozsváth-Szabó -invariant to links by studying a filtered version of link grid homology. We prove that this invariant remains unchanged under…