Resolution of symplectic cyclic orbifold singularities
Symplectic Geometry
2015-10-27 v2
Abstract
In this paper we present a method to obtain resolutions of symplectic orbifolds arising from symplectic reduction of a Hamiltonian S^1-manifold at a regular value. As an application, we show that all isolated cyclic singularities of a symplectic orbifold admit a resolution and that pre-quantisations of symplectic orbifolds are symplectically fillable by a smooth manifold.
Cite
@article{arxiv.0707.4141,
title = {Resolution of symplectic cyclic orbifold singularities},
author = {Klaus Niederkrüger and Federica Pasquotto},
journal= {arXiv preprint arXiv:0707.4141},
year = {2015}
}
Comments
12 pages, 2 figures: proof by performing a symplectic cut of the Hamiltonian S^1-manifold, 1 figure added