70 citations · 162 across the 13 of their papers we have counts for
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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.
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.
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…
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…
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…
Monopoles and lens space surgeries
Peter Kronheimer, Tomasz Mrowka, Peter Ozsvath +1
Monopole Floer homology is used to prove that real projective three-space cannot be obtained from Dehn surgery on a non-trivial knot in the three-sphere. To obtain this result, we…