Séminaire Géométrie Topologie Dynamique
C⁰-rigidity of presymplectic embeddings
|Intervenant :||Dušan Joksimović|
|Heure :||14h00 - 15h00|
In this talk, we will show that the space of presymplectic embeddings of a closed presymplectic manifold (X, \sigma) into a presymplectic manifold (X',\sigma') (of right dimension) is closed with respect to C⁰ topology in the space of all embeddings of X into M.
This result encodes several known forms of C⁰ rigidity in symplectic geometry due to Eliashberg and Gromov (C⁰-rigidity of symplectomorphism), Laudenbach and Sikorav (C⁰-rigidity of Lagrangian embeddings), and partially that of Humilière, Leclercq, Seyfaddini (C⁰-rigidity of coisotropic submanifolds).
The talk is based on joint work in progress with K. Cieliebak and F. Ziltener.