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Topological stability of contact structures in dimension 3

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Publication:1974949
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DOI10.1215/S0012-7094-99-09912-XzbMath1034.53087OpenAlexW2011330686MaRDI QIDQ1974949

Vincent Colin

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-99-09912-x

zbMATH Keywords

contact manifoldovertwistedisotopicclosed 3-manifold


Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10)


Related Items

Approximating \(C^{0}\)-foliations by contact structures, Homotopy and isotopy finiteness of tight contact structures



Cites Work

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  • Some global properties of contact structures
  • Contact 3-manifolds twenty years since J. Martinet's work
  • The theory of foliations of codimension greater than one
  • The classification of tight contact structures on the 3-torus
  • Classification of overtwisted contact structures on 3-manifolds
  • Asymptotic cycles
  • Une structure de contact, même tendue, est plus ou moins tordue
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