Journal of Symplectic Geometry

Volume 7 (2009)

Number 3

Resolution of symplectic cyclic orbifold singularities

Pages: 337 – 355

DOI: http://dx.doi.org/10.4310/JSG.2009.v7.n3.a4

Authors

Klaus Niederkrüger

Federica Pasquotto

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.

Full Text (PDF format)