Milnor fillable contact structures are universally tight
Geometric Topology
2012-06-13 v3 Symplectic Geometry
Abstract
We show that the canonical contact structure on the link of a normal complex singularity is universally tight. As a corollary we show the existence of closed, oriented, atoroidal 3-manifolds with infinite fundamental groups which carry universally tight contact structures that are not deformations of taut (or Reebless) foliations. This answers two questions of Etnyre.
Cite
@article{arxiv.1005.2385,
title = {Milnor fillable contact structures are universally tight},
author = {Yanki Lekili and Burak Ozbagci},
journal= {arXiv preprint arXiv:1005.2385},
year = {2012}
}
Comments
12 pages, 2 figures. Improved exposition following a referee's comments