Homologie de contact des varietes toroidales

Details Homologie de contact des varietes toroidales Homologie de contact des varietes toroidales

2004-11-25

arxiv.org/abs/math/0411577v3

Geom. Topol. 9(2005) 299-313

Mathematics

Geometric Topology

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

Scientific paper

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.

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