On the coarse classification of tight contact structures

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

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Geometric Topology, Differential Geometry, Symplectic Geometry, 53D35

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http://salesiana.dossiersoluciones.com/handle/123456789/67452

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305186
 http://arxiv.org/abs/math/0305186

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arXiv