16 citations · 17 across the 5 of their papers we have counts for
6 papers
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…
Stability theorems for symplectic and contact pairs
G. Bande, P. Ghiggini, D. Kotschick
We prove Gray--Moser stability theorems for complementary pairs of forms of constant class defining symplectic pairs, contact-symplectic pairs and contact pairs. We also consider t…
Classification of tight contact structures on small Seifert 3-manifolds with e_0\geq 0
Paolo Ghiggini, Paolo Lisca, Andras I. Stipsicz
We classify positive, tight contact structures on closed Seifert fibered 3-manifolds with base S^2, three singular fibers and e_0\geq 0.
Ozsvath-Szabo invariants and fillability of contact structures
Paolo Ghiggini
In this article we provide an infinite family of weakly symplectically fillable contact structures with trivial Ozsvath-Szabo contact invariants over Z/2Z. As a consequence of this…
Linear Legendrian curves in
Paolo Ghiggini
Using convex surfaces and Kanda's classification theorem, we classify Legendrian isotopy classes of Legendrian linear curves in all tight contact structures on . Some of the k…
On the classification of tight contact structures
P. Ghiggini, S. Schoenenberger
Recently, there have been several breakthroughs in the classification of tight contact structures. We give an outline on how to exploit methods developed by Ko Honda and John Etnyr…