ON THE SYMPLECTIC FILLINGS OF STANDARD REAL PROJECTIVE SPACES

Paolo Ghiggini (1) , Klaus Niederkrüger

1 LMJL - Laboratoire de Mathématiques Jean Leray

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]

Paolo Ghiggini, Klaus Niederkrüger. ON THE SYMPLECTIC FILLINGS OF STANDARD REAL PROJECTIVE SPACES. Journal of Fixed Point Theory and Applications, 2022, Symplectic geometry - A Festschrift in honour of Claude Viterbo’s 60th birthday, 24 (2), ⟨10.1007/s11784-022-00943-y⟩. ⟨hal-03082901⟩