Finitude homotopique et isotopique des structures de contact tendues

Details Finitude homotopique et isotopique des structures de contact tendues Finitude homotopique et isotopique des structures de contact tendues

2008-05-20

arxiv.org/abs/0805.3051v1

Mathematics

Symplectic Geometry

Scientific paper

Let V be a closed 3-manifold. In this paper we prove that the homotopy
classes of plane fields on V that contain tight contact structures are in
finite number and that, if V is atoroidal, the isotopy classes of tight contact
structures are also in finite number.

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