Tight contact structures on 3-manifolds via dynamics

Details Tight contact structures on 3-manifolds via dynamics Tight contact structures on 3-manifolds via dynamics

1998-12-09

arxiv.org/abs/math/9812061v1

Mathematics

Differential Geometry

Scientific paper

We consider the problem of realizing tight contact structures on closed orientable three-manifolds. By applying the theorems of Hofer et al., one may deduce tightness from dynamical properties of (Reeb) flows transverse to the contact structure. We detail how two classical constructions, Dehn surgery and branched covering, may be performed on dynamically-constrained links in such a way as to preserve a transverse tight contact structure.

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