Tight contact structures on some small Seifert fibered 3--manifolds
Symplectic Geometry
2007-05-23 v1 Geometric Topology
Abstract
We classify tight contact structures on the small Seifert fibered 3--manifold M(-1; r_1, r_2, r_3) with r_i in (0,1) and r_1, r_2 \geq 1/2. The result is obtained by combining convex surface theory with computations of contact Ozsvath--Szabo invariants. We also show that some of the tight contact structures on the manifolds considered are nonfillable, justifying the use of Heegaard Floer theory.
Keywords
Cite
@article{arxiv.math/0509714,
title = {Tight contact structures on some small Seifert fibered 3--manifolds},
author = {Paolo Ghiggini and Paolo Lisca and Andras I. Stipsicz},
journal= {arXiv preprint arXiv:math/0509714},
year = {2007}
}
Comments
38 pages, 10 figures