On the coarse classification of tight contact structures

Details On the coarse classification of tight contact structures On the coarse classification of tight contact structures

2003-05-13

arxiv.org/abs/math/0305186v1

Mathematics

Geometric Topology

12 pages, to appear in the 2001 Georgia International Topology Conference proceedings

Scientific paper

We present a sketch of the proof of the following theorems: (1) Every
3-manifold has only finitely many homotopy classes of 2-plane fields which
carry tight contact structures. (2) Every closed atoroidal 3-manifold carries
finitely many isotopy classes of tight contact structures.

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