Lectures
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2009/04/14
16:30-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Klaus Niederkruger (Ecole normale superieure de Lyon)
Resolution of symplectic orbifolds obtained from reduction
Klaus Niederkruger (Ecole normale superieure de Lyon)
Resolution of symplectic orbifolds obtained from reduction
[ Abstract ]
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-quantizations of symplectic orbifolds are symplectically fillable by a smooth manifold.
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-quantizations of symplectic orbifolds are symplectically fillable by a smooth manifold.