Hyperbolic 3-manifolds admitting no fillable contact structures

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.

9 pages

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Cited by in corpus (1)

• A note on embeddings of 3-manifolds in symplectic 4-manifolds