Algebraic & Geometric Topology 4 (2004) 199–217

DOI: 10.2140/agt.2004.4.199

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

Mathematical Subject Classification

Primary: 57R17

Secondary: 57R57

References

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Publication

Received: 6 October 2003
Accepted: 31 March 2004
Published: 10 April 2004

Authors