Simple Hamiltonian manifolds

Mathematics – Symplectic Geometry

Scientific paper

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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.

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