Simple Hamiltonian manifolds
Symplectic Geometry
2013-08-14 v2
Abstract
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.
Cite
@article{arxiv.1012.4740,
title = {Simple Hamiltonian manifolds},
author = {Jean-Claude Hausmann and Tara S. Holm},
journal= {arXiv preprint arXiv:1012.4740},
year = {2013}
}
Comments
29 pages, 1 figure. Second version has expanded introduction, improved exposition throughout, and minor corrections