Seifert fibered contact three-manifolds via surgery
Symplectic Geometry
2014-10-01 v3 Geometric Topology
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
Cite
@article{arxiv.math/0307341,
title = {Seifert fibered contact three-manifolds via surgery},
author = {Paolo Lisca and Andras I. Stipsicz},
journal= {arXiv preprint arXiv:math/0307341},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-12.abs.html