On a Poincaré lemma for singular foliations and geometric quantization
Document typeExternal research report
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In this paper we prove a Poincar e lemma for forms tangent to a foliation with nondegenerate singularities given by an integrable system on a symplectic manifold. As a consequence, the Kostant complex in Geometric Quantization is a ne resolution of the sheaf of at sections when the polarization is spanned by the Hamiltonian vector elds of the rst integrals of this integrable system.
CitationMiranda, E.; Solha, R. "On a Poincaré lemma for singular foliations and geometric quantization". 2013.