Reeb periodic orbits after a bypass attachment

Abstract : On a 3-dimensional contact manifold with boundary, a bypass attachment is an elementary change of the contact structure consisting in the attachment of a thickened half-disc with a prescribed contact structure along an arc on the boundary. We give a model bypass attachment in which we describe the periodic orbits of the Reeb vector field created by the bypass attachment in terms of Reeb chords of the attachment arc. As an application, we compute the contact homology of a product neighbourhood of a convex surface after a bypass attachment, and the contact homology of some contact structures on solid tori.
Type de document :
Pré-publication, Document de travail
2012
Liste complète des métadonnées


https://hal-ens-lyon.archives-ouvertes.fr/ensl-00768825
Contributeur : Anne Vaugon <>
Soumis le : lundi 24 décembre 2012 - 19:51:08
Dernière modification le : lundi 21 mars 2016 - 17:37:22
Document(s) archivé(s) le : dimanche 18 décembre 2016 - 10:19:46

Fichiers

vaugon_bypass.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

  • HAL Id : ensl-00768825, version 1
  • ARXIV : 1212.6145

Collections

Citation

Anne Vaugon. Reeb periodic orbits after a bypass attachment. 2012. <ensl-00768825>

Partager

Métriques

Consultations de
la notice

234

Téléchargements du document

122