Mathematics – Symplectic Geometry
Scientific paper
2010-12-21
Mathematics
Symplectic Geometry
21 pages, 1 figure
Scientific paper
A simple Hamiltonian manifold is a closed connected symplectic manifold
equipped with a Hamiltonian action of a torus T with moment map Phi: M-->t^*,
such that the fixed set M^T has exactly two connected components, denoted M_0
and M_1. We study the differential and symplectic geometry of simple
Hamiltonian manifolds, including a large number of examples.
Hausmann Jean-Claude
Holm Tara S.
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