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arXiv · 1409.4055

Tight Planar Contact Manifolds with Vanishing Heegaard Floer Contact Invariants

James Conway·Amey Kaloti·Dheeraj Kulkarni
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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.

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James Conway, Amey Kaloti, Dheeraj Kulkarni. 2016-09-16. Tight Planar Contact Manifolds with Vanishing Heegaard Floer Contact Invariants. https://doi.org/10.1016/j.topol.2016.08.029

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