Mathematics – Geometric Topology
Scientific paper
2003-05-13
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.
Colin Vincent
Giroux Emmanuel
Honda Ko
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