Resolution of symplectic cyclic orbifold singularities

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Date
2007-03-21MFO Scientific Program
Research in Pairs 2007Series
Oberwolfach Preprints;2007,03Author
Niederkrüger, Klaus
Pasquotto, Federica
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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.