#### Volume 4, issue 1 (2004)

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Seifert fibered contact three-manifolds via surgery

### Paolo Lisca and Andras I Stipsicz

Algebraic & Geometric Topology 4 (2004) 199–217
 arXiv: math.SG/0307341
##### Abstract

Using contact surgery we define families of contact structures on certain Seifert fibered three–manifolds. We prove that all these contact structures are tight using contact Ozsváth–Szabó invariants. We use these examples to show that, given a natural number $n$, there exists a Seifert fibered three–manifold carrying at least $n$ pairwise non-isomorphic tight, not fillable contact structures.

##### Keywords
Seifert fibered 3–manifolds, tight, fillable contact structures, Ozsváth–Szabó invariants
Primary: 57R17
Secondary: 57R57