Hyperbolic rational homology spheres not admitting fillable contact structures
Geometric Topology
2015-09-14 v2 Symplectic Geometry
Abstract
In this short note, we exhibit an infinite family of hyperbolic rational homology --spheres which do not admit any fillable contact structures. We also note that most of these manifolds do admit tight contact structures.
Keywords
Cite
@article{arxiv.1508.07300,
title = {Hyperbolic rational homology spheres not admitting fillable contact structures},
author = {Amey Kaloti and Bulent Tosun},
journal= {arXiv preprint arXiv:1508.07300},
year = {2015}
}
Comments
9 pages, exposition improved