Complete invariants for Hamiltonian torus actions with two dimensional quotients
Symplectic Geometry
2007-05-23 v2 Differential Geometry
Geometric Topology
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.
Cite
@article{arxiv.math/0202167,
title = {Complete invariants for Hamiltonian torus actions with two dimensional quotients},
author = {Yael Karshon and Susan Tolman},
journal= {arXiv preprint arXiv:math/0202167},
year = {2007}
}
Comments
Final version, to appear in the Journal of Symplectic Geometry. Previous title: Tall complexity one Hamiltonian torus actions. Revisions: improved exposition