Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

Cited literature [37 references]  Display  Hide  Download
Contributor : Anne Vaugon Connect in order to contact the contributor
Submitted on : Monday, December 24, 2012 - 7:51:08 PM
Last modification on : Tuesday, November 19, 2019 - 11:13:09 AM
Long-term archiving on: : Sunday, December 18, 2016 - 10:19:46 AM


Files produced by the author(s)


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



Anne Vaugon. Reeb periodic orbits after a bypass attachment. 2012. ⟨ensl-00768825⟩



Record views


Files downloads