Homologie de contact des varietes toroidales

Abstract

We show that contact homology distinguishes infinitely many tight contact structures on any orientable, toroidal, irreducible 3-manifold. As a consequence of the contact homology computations, on a very large class of toroidal manifolds, all known examples of universally tight contact structures with nonvanishing torsion satisfy the Weinstein conjecture. ----- On montre que l'homologie de contact distingue une infinite de structures de contact tendues sur toute variete toroidale irreductible et orientable de dimension trois. En consequence des calculs d'homologie de contact, sur une tres large classe de varietes toroidales, tous les exemples de structures de contact universellement tendues de torsion non nulle connus verifient la conjecture de Weinstein.

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper9.abs.html Version 3: one minor correction

References in corpus (2)

• Compactness results in Symplectic Field Theory
• Constructions controlees de champs de Reeb et applications

Cited by in corpus (6)

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• On growth rate and contact homology