Classification of Hamiltonian torus actions with two dimensional quotients
Symplectic Geometry
2014-11-11 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1109.6873,
title = {Classification of Hamiltonian torus actions with two dimensional quotients},
author = {Yael Karshon and Susan Tolman},
journal= {arXiv preprint arXiv:1109.6873},
year = {2014}
}
Comments
46 pages, 2 figures. v2: added a reference