Displacement energy of Lagrangian 3-spheres

Abstract: We study local and global Hamiltonian dynamical behaviours of some Lagrangian submanifolds near a Lagrangian sphere S in a symplectic manifold X. When dim S = 2, we show that there is a one-parameter family of Lagrangian tori near S, which are nondisplaceable in X. When dim S = 3, we obtain a new estimate of the displacement energy of S, by estimating the displacement energy of a one-parameter family of Lagrangian tori near S.

algebraic geometrydifferential geometrygeometric topologysymplectic geometry

Audience: researchers in the topic

Free Mathematics Seminar

Series comments: This is the free mathematics seminar. Free as in freedom. We use only free and open source software to run the seminar.

The link to each week's talk is sent to the members of the e-mail list. The registration link to this mailing list is available on the homepage of the seminar.