Seifert fibered contact three-manifolds via surgery

Details Seifert fibered contact three-manifolds via surgery Seifert fibered contact three-manifolds via surgery

2003-07-25

arxiv.org/abs/math/0307341v3

Algebraic and Geometric Topology 4 (2004) 199-217

Mathematics

Symplectic Geometry

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-12.abs.html

Scientific paper

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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