On Orbifold Criteria for Symplectic Toric Quotients
Symplectic Geometry
2013-04-15 v2 Representation Theory
Abstract
We introduce the notion of regular symplectomorphism and graded regular symplectomorphism between singular phase spaces. Our main concern is to exhibit examples of unitary torus representations whose symplectic quotients cannot be graded regularly symplectomorphic to the quotient of a symplectic representation of a finite group, while the corresponding GIT quotients are smooth. Additionally, we relate the question of simplicialness of a torus representation to Gaussian elimination.
Keywords
Cite
@article{arxiv.1205.1870,
title = {On Orbifold Criteria for Symplectic Toric Quotients},
author = {Carla Farsi and Hans-Christian Herbig and Christopher Seaton},
journal= {arXiv preprint arXiv:1205.1870},
year = {2013}
}