Complete invariants for Hamiltonian torus actions with two dimensional quotients
arXiv:math/0202167
Abstract
We study torus actions on symplectic manifolds with proper moment maps in the case that each reduced space is two-dimensional. We provide a complete set of invariants for such spaces. Our proof uses sheaves of groupoids of Hamiltonian spaces.
Final version, to appear in the Journal of Symplectic Geometry. Previous title: Tall complexity one Hamiltonian torus actions. Revisions: improved exposition