Tight Planar Contact Manifolds with Vanishing Heegaard Floer Contact Invariants
classification
🧮 math.GT
keywords
contactexhibitfloerheegaardinfiniteinvariantsmanifoldsplanar
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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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