activity
19982023
most citedKnot Floer homology and the four-ball genus

478 citations · 2.5k across the 62 of their papers we have counts for

collaborators
Showing 2005Show all

7 papers · 1 filter

math.GT2005★ 196 cited

Holomorphic disks and link invariants

Peter Ozsvath, Zoltan Szabo

We define a Floer-homology invariant for links in , and study its properties.

math.GT2005★ 1 cited

A note on symplectic rational blow--downs

Andras I. Stipsicz, Zoltan Szabo

Due to a significant error in the main result (pointed out by J. Wahl), the paper has been withdrawn by the authors. A corrected and expanded version is 'Rational blow-downs and sm…

math.DG2005★ 2 cited

Theory of zones on Zeeman manifolds; A new approach to the infinities of QED

Zoltan I. Szabo

The Zeeman-Hamilton operators of free charged particles are identified with the Laplacians of certain Riemannian manifolds, called Zeeman manifolds. The quantum Hilbert space decom…

math.DG2005

Reconstruction of the intertwining operator and new striking examples added to``Isospectral pairs of metrics on balls and spheres with different local geometries''

Z. I. Szabo

The intertwining operator constructed in [Sz1,Sz2] does not appear in the right form. It is established there by using only the anticommutators. The correct operator must involve a…

math.GT2005★ 140 cited

Knot Floer homology and rational surgeries

Peter Ozsvath, Zoltan Szabo

Let be a rationally null-homologous knot in a three-manifold . We construct a version of knot Floer homology in this context, including a description of the Floer homology o…

math.SG2005★ 15 cited

Planar open books and Floer homology

Peter Ozsvath, Andras I. Stipsicz, Zoltan Szabo

Giroux has described a correspondence between open book decompositions on a 3--manifold and contact structures. In this paper we use Heegaard Floer homology to give restrictions on…

math.GT2005★ 4 cited

Small Exotic 4-manifolds with b_2^+=3

Andras I Stipsicz, Zoltan Szabo

We construct an infinite family of simply connected, pairwise nondiffeomorphic 4-manifolds, all homeomorphic to 3CP^2 blown up at 9 points.