Resolution of symplectic cyclic orbifold singularities

Abstract

In this paper we present a method to obtain resolutions of symplectic orbifolds arising as quotients of pre-symplectic semi-free S1–actions. This includes, in particular, all orbifolds arising from symplectic reduction of Hamiltonian S1–manifolds at regular values, as well as all isolated cyclic orbifold singularities. As an application, we show that pre-quantisations of symplectic orbifolds are symplectically fillable by a smooth manifold.