Resolution of symplectic cyclic orbifold singularities

2007/07/31 by Klaus Niederkrüger, Federica Pasquotto · 1 citation
Mathematics · #math.SG #msc:53D20 #msc:37J15

paper · pdf · doi:10.4310/jsg.2009.v7.n3.a4

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

arxiv created 2007/12/09 · arxiv updated 2015/10/27

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-quantisations of symplectic orbifolds are symplectically fillable by a smooth manifold.

Cited by

• Symplectic log Kodaira dimension -∞, Hirzebruch--Jung strings and weighted projective planes

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