ON THE SYMPLECTIC FILLINGS OF STANDARD REAL PROJECTIVE SPACES
Résumé
We prove, in a geometric way, that the standard contact structure on RP 2n−1 is not Liouville fillable for n ≥ 3 and odd. We also prove that, for all n, semipositive fillings of those contact structures are simply connected. Finally we give yet another proof of the Eliashberg-Floer-McDuff theorem on the diffeomorphism type of the symplectically aspherical fillings of the standard contact structure on S 2n−1 .
Domaines
Mathématiques [math]
Origine : Fichiers produits par l'(les) auteur(s)