Lagrangian submanifolds and moment convexity
Symplectic Geometry
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0311179,
title = {Lagrangian submanifolds and moment convexity},
author = {Bernhard Kroetz and Michael Otto},
journal= {arXiv preprint arXiv:math/0311179},
year = {2007}
}
Comments
21 pages; additional comments added. To appear in TAMS