Restriction of the moment map to certain non-Lagrangian submanifolds
Symplectic Geometry
2007-05-23 v1
Abstract
Consider a Hamiltonian torus action on a connected symplectic manifold M for which the associated moment map Phi is proper in some sense. Let Q be a closed submanifold of M. We show that under certain local conditions on Q one has Phi(Q)=Phi(M). We apply this result in the special case that Q arises as the fixed point set of some involution on M which is not necessarily antisymplectic.
Keywords
Cite
@article{arxiv.math/0609541,
title = {Restriction of the moment map to certain non-Lagrangian submanifolds},
author = {Michael Otto},
journal= {arXiv preprint arXiv:math/0609541},
year = {2007}
}
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14 pages