We'll define stabilization for codim=2 contact manifolds of dim>3 contact manifolds so that the following holds: A contact manifold is overtwisted iff its "standard contact unknot" is a stabilization. This means that many dim=2n+1>3 contact manifolds contain dim=2n-1 spheres which are unknotted smoothly but "knotted" from a contact-topological point of view.
Transverse stabilization in dim>3 contact topology
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Nom de l'orateur
Russell Avdek
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Laboratoire de Mathématiques d'Orsay
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