most citedPlanar open books and Floer homology

15 citations · 21 across the 7 of their papers we have counts for

collaborators

7 papers

math.SG2005

Tight contact structures on some small Seifert fibered 3--manifolds

Paolo Ghiggini, Paolo Lisca, Andras I. Stipsicz

We classify tight contact structures on the small Seifert fibered 3--manifold M(-1; r_1, r_2, r_3) with r_i in (0,1) and r_1, r_2 \geq 1/2. The result is obtained by combining conv…

math.SG2005

Ozsvath-Szabo invariants and tight contact three-manifolds, III

Paolo Lisca, Andras I. Stipsicz

We characterize L-spaces which are Seifert fibered over the 2-sphere in terms of taut foliations, transverse foliations and transverse contact structures. We give a sufficient cond…

math.SG200515 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.SG2005

Notes on the contact Ozsvath--Szabo invariants

Paolo Lisca, Andras I. Stipsicz

We prove various results on contact structures obtained by contact surgery on a single Legendrian knot in the standard contact three--sphere. Our main tool are the contact Ozsvath-…

math.GT20054 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.

math.GT20041 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.