Classification of Hamiltonian torus actions with two dimensional quotients

Abstract

We construct all possible Hamiltonian torus actions for which all the non-empty reduced spaces are two dimensional (and not single points) and the manifold is connected and compact, or, more generally, the moment map is proper as a map to a convex set. This construction completes the classification of tall complexity one spaces.

46 pages, 2 figures. v2: added a reference

References in corpus (3)

• Some 6-dimensional Hamiltonian S^1 manifolds
• Automorphisms of multiplicity free Hamiltonian manifolds
• Hamiltonian circle actions with minimal fixed sets

Cited by in corpus (6)

• Hidden toric symmetry and structural stability of singularities in integrable systems
• Topology of complexity one quotients
• Torus actions of complexity one and their local properties
• The foundations of $(2n,k)$-manifolds
• One-connectivity and finiteness of Hamiltonian $S^1$-manifolds with minimal fixed sets
• Centralizers of Hamiltonian circle actions on rational ruled surfaces