Resolution of symplectic cyclic orbifold singularities

Abstract

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.

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

References in corpus (2)

• Symplectic resolutions, Lefschetz property and formality
• Holomorphic fillability and cohomology

Cited by in corpus (7)

• Hyperbolic geometry and non-Kahler manifolds with trivial canonical bundle
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• Non-fillable invariant contact structures on principal circle bundles and left-handed twists
• Sasaki structures distinguished by their basic Hodge numbers
• Ricci Curvature, Reeb Flows and Contact 3-Manifolds
• Resolution of $4$-dimensional symplectic orbifolds
• Unobstructed symplectic packing by ellipsoids for tori and hyperkahler manifolds