Tight Contact Structures on Laminar Free Hyperbolic Three-Manifolds
Tight Contact Structures on Laminar Free Hyperbolic Three-Manifolds
Whether every hyperbolic 3-manifold admits a tight contact structure or not is an open question. Many hyperbolic 3-manifolds contain taut foliations and taut foliations in turn can be perturbed to tight contact structures. The first examples of hyperbolic 3-manifolds without taut foliations were constructed by Roberts, Shareshian, and Stein, and …