Simple Hamiltonian manifolds

2010/12/21 by Hausmann, Jean-Claude, Holm, Tara S. · 1 citation
#53D20 #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1012.4740

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 M₀ and M₁. We study the differential and symplectic geometry of simple Hamiltonian manifolds, including a large number of examples.

Cited by

• Prime Fano 4-folds with semi-free torus actions

Related

• Centered complexity one Hamiltonian torus actions
• Symplectic manifolds and Hamiltonian dynamical systems
• Complete invariants for Hamiltonian torus actions with two dimensional quotients
• Hamiltonian and symplectic symmetries: an introduction
• π₁ of Hamiltonian S¹ manifolds