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Seifert fibered contact three-manifolds via surgery

Paolo Lisca·Andras I. Stipsicz
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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.

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BibTeXRIS

Paolo Lisca, Andras I. Stipsicz. 2004-04-26. Seifert fibered contact three-manifolds via surgery. https://doi.org/10.2140/agt.2004.4.199

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