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

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

2007-09-05

arxiv.org/abs/0709.0737v1

Mathematics

Symplectic Geometry

34 pages

Scientific paper

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.

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