Formal Geometric Quantization

Mathematics – Symplectic Geometry

Scientific paper

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26 pages

Scientific paper

The aim of this article is to study the functorial properties of the ``formal
geometric quantization'' procedure which is defined for non-compact Hamiltonian
manifolds (when the moment map is proper). For this purpose, we introduce a
technique of symplectic cutting that uses the wonderfull compactification of
Concini-Procesi.

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