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Lagrangian submanifolds and moment convexity

Bernhard Kroetz·Michael Otto
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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.

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Bernhard Kroetz, Michael Otto. 2004-03-31. Lagrangian submanifolds and moment convexity. https://arxiv.org/abs/math/0311179

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