Séminaire joint entre l'université Paris Saclay et Nantes université - Spécialisé en géometrie symplectique et de contact
Non-loose Legendrian spheres with trivial contact homology DGA
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Nom de l'orateur
Tobias Ekholm
Etablissement de l'orateur
Université d'Uppsala
Date et heure de l'exposé
Lieu de l'exposé
IHP Salle 201 (Paris)
Loose Legendrian n-submanifolds, n>1, were introduced by Murphy and proved to be flexible in the h-principle sense: any two loose Legendrian submanifolds that are formally Legendrian isotopic are in fact actually Legendrian isotopic. Legendrian contact homology is a Floer theoretic invariant that associates a differential graded algebra (DGA) to a Legendrian submanifold. The DGA of a loose Legendrian submanifold is trivial. We show that the converse is not true by constructing non-loose Legendrian n-spheres in standard contact (2n+1)-space, n > 1, with trivial DGA.