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 2004Show all

6 papers · 1 filter

math.GT2004★ 1 cited

Exotic smooth structures on $CP^2#5{\bar CP^2}$

Jongil Park, Andras I Stipsicz, Zoltan Szabo

Motivated by a construction of Fintushel and Stern, we show that the topological 4--manifold $CP^2#5{\bar CP^2}$ supports infinitely many distinct smooth structures.

math.GT2004★ 20 cited

On Park's exotic smooth four-manifolds

Peter Ozsvath, Zoltan Szabo

In a recent paper, Park constructs certain exotic simply-connected four-manifolds with small Euler characteristics. Our aim here is to prove that the four-manifolds in his construc…

math.GT2004★ 35 cited

An exotic smooth structure on CP^2+6CP^2-bar

Andras I Stipsicz, Zoltan Szabo

We construct smooth 4-manifolds homeomorphic but not diffeomorphic to CP^2+6CP^2-bar.

math.GT2004★ 6 cited

Knot Floer homology and integer surgeries

Peter Ozsvath, Zoltan Szabo

Let be a null-homologous knot in a three-manifold . We give a description of the Heegaard Floer homology of integer surgeries on along in terms of the filtered homot…

math.GT2004

Heegaard diagrams and holomorphic disks

Peter Ozsvath, Zoltan Szabo

A three-manifold equipped with a Heegaard diagram can be used to set up a Floer homology theory whose differential counts pseudo-holomorphic disks in the -fold symmetric product…

math.GT2004★ 4 cited

Knots with unknotting number one and Heegaard Floer homology

Peter Ozsvath, Zoltan Szabo

We use Heegaard Floer homology to give obstructions to unknotting a knot with a single crossing change. These restrictions are particularly useful in the case where the knot in que…