In dimension 3, the theory of codimension 2 contact submanifolds is better known as the transverse knot theory of a contact manifold, a theory which has a complete description in terms of braid theory. In higher dimensions, almost nothing is known, but there is a small (but growing) list of results. I will explain a method developed with A. Kaloti to use open books and Lefschetz fibrations to study codimension 2 contact embeddings. I will present as some initial applications and some interesting behaviors.
Towards a braid theory of codimension 2 contact submanifolds
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Nom de l'orateur
Jeremy Van Horn-Morris
Etablissement de l'orateur
University of Arkansas
Date et heure de l'exposé
Lieu de l'exposé
Salle Eole