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.
arXiv comment10 pages, 4 figures; final version
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