Lagrangian submanifolds and moment convexity

Details Lagrangian submanifolds and moment convexity Lagrangian submanifolds and moment convexity

2003-11-12

arxiv.org/abs/math/0311179v2

TAMS 358 (2006), 871-891

Mathematics

Symplectic Geometry

21 pages; additional comments added. To appear in TAMS

Scientific paper

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.

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