Volume 4, issue 1 (2004)

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ISSN (electronic): 1472-2739
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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
Mathematical Subject Classification 2000
Primary: 57R17
Secondary: 57R57
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Publication
Received: 6 October 2003
Accepted: 31 March 2004
Published: 10 April 2004
Authors
Paolo Lisca
Dipartimento di Matematica
Università di Pisa
I-56127 Pisa
Italy
Andras I Stipsicz
Rényi Institute of Mathematics
Hungarian Academy of Sciences
H-1053 Budapest
Reáltanoda utca 13–15
Hungary