On the existence of tight contact structures on Seifert fibered 3-manifolds

By P. Lisca, A. Stipsicz. 2007

62 citations recorded by the source corpus.

We determine the closed, oriented Seifert fibered 3-manifolds which carry positive tight contact structures. Our main tool is a new non-vanishing criterion for the contact Ozsvath-Szabo invariant.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/06c93922d7758bf842e553739280265d52ba194e

Citations in the corpus

• Planar open books, monodromy factorizations and symplectic fillings (2009, unknown): “) Tight contact structures on such manifolds were studied by Ghiggini–Lisca– Stipsicz [8] and Lisca–Stipsicz [19; 20]; when r1; r2 1=2, a complete classification of tight contact structures on M.”