Tight Planar Contact Manifolds with Vanishing Heegaard Floer Contact Invariants
arXiv:1409.4055 · doi:10.1016/j.topol.2016.08.029
Abstract
In this note, we exhibit infinite families of tight non-fillable contact manifolds supported by planar open books with vanishing Heegaard Floer contact invariants. Moreover, we also exhibit an infinite such family where the supported manifold is hyperbolic.
10 pages, 4 figures; final version