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Finitude homotopique et isotopique des structures de contact tendues

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Abstract

Soit V une variété close de dimension 3. Dans cet article, on montre que les classes d’homotopie de champs de plans sur V qui contiennent des structures de contact tendues sont en nombre fini et que, si V est atoroïdale, les classes d’isotopie des structures de contact tendues sur V sont elles aussi en nombre fini.

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Author information

Authors and Affiliations

  1. Université de Nantes, UMR 6629 du CNRS, 44322, Nantes, France

    Vincent Colin

  2. École normale supérieure de Lyon, UMR 5669 du CNRS, 69000, Lyon, France

    Emmanuel Giroux

  3. University of Southern California, Los Angeles, CA, 90089, USA

    Ko Honda

Authors
  1. Vincent Colin
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  2. Emmanuel Giroux
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  3. Ko Honda
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Corresponding author

Correspondence to Vincent Colin.

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Colin, V., Giroux, E. & Honda, K. Finitude homotopique et isotopique des structures de contact tendues. Publ.math.IHES 109, 245–293 (2009). https://doi.org/10.1007/s10240-009-0022-y

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  • DOI: https://doi.org/10.1007/s10240-009-0022-y

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