Contents Online
Journal of Symplectic Geometry
Volume 7 (2009)
Number 3
Resolution of symplectic cyclic orbifold singularities
Pages: 337 – 355
DOI: https://dx.doi.org/10.4310/JSG.2009.v7.n3.a4
Authors
Abstract
In this paper we present a method to obtain resolutions of symplectic orbifolds arising from symplectic reduction of a Hamiltonian $S1$-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-quantizations of symplectic orbifolds are symplectically fillable by a smooth manifold.
Published 1 January 2009