Finitude homotopique et isotopique des structures de contact tendues

2008/05/20 by Vincent Colin, Colin, Vincent, Emmanuel Giroux +3 · 3 citations
Engineering · Mathematics · #53C15 #57M50 #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.0805.3051

openalex publication_date 2008/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Neighborhoods of transverse knots and destabilizations
• Submanifolds in contact geometry
• Bordered contact invariants and half Giroux torsion

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