AGT 4 (2004) Paper 12 (Abstract)

Algebraic and Geometric Topology 4 (2004), paper no. 12, pages 199-217.

Seifert fibered contact three-manifolds via surgery

Paolo Lisca Andras I. Stipsicz

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 Ozsath-Szabo 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, Ozsvath-Szabo invariants

AMS subject classification. Primary: 57R17. Secondary: 57R57.

DOI: 10.2140/agt.2004.4.199

E-print: arXiv:math.SG/0307341

Submitted: 6 October 2003. Accepted: 31 March 2004. Published: 10 April 2004.

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Paolo Lisca Andras I. Stipsicz
Dipartimento di Matematica, Universita di Pisa
I-56127 Pisa, Italy
and
Renyi Institute of Mathematics, Hungarian Academy of Sciences
H-1053 Budapest, Realtanoda utca 13--15, Hungary

Email: lisca@dm.unipi.it, stipsicz@math-inst.hu

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