Lagrangian submanifolds and moment convexity
Abstract
Description
We consider a Hamiltonian torus action on a compact connected symplectic manifold M. For a certain class of Lagrangian submanifolds Q of M we show that the image of Q under the momentum map is convex. As an application we complete the symplectic proof of Kostant's non-linear convexity theorem.
21 pages; additional comments added. To appear in TAMS
21 pages; additional comments added. To appear in TAMS