Resolution of symplectic cyclic orbifold singularities

Details Resolution of symplectic cyclic orbifold singularities Resolution of symplectic cyclic orbifold singularities

2007-07-27

arxiv.org/abs/0707.4141v2

Journal of Symplectic Geometry (2009) Vol. 7, No. 3.

Mathematics

Symplectic Geometry

12 pages, 2 figures: proof by performing a symplectic cut of the Hamiltonian S^1-manifold, 1 figure added

Scientific paper

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.

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