Hyperbolic 3-manifolds admitting no fillable contact structures

Published 28 Aug 2015 in math.GT and math.SG | (1508.07056v2)

Abstract: In this paper, we find infinite hyperbolic 3-manifolds that admit no weakly symplectically fillable contact structures, using tools in Heegaard Floer theory. We also remark that part of these manifolds do admit tight contact structures.

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