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arxiv: math-ph/0603078 · v1 · submitted 2006-03-29 · 🧮 math-ph · math.MP

A homological approach to singular reduction in deformation quantization

classification 🧮 math-ph math.MP
keywords deformationhomologicalquantizationreductionsingularsingularityapproachcoefficients
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We use the method of homological quantum reduction to construct a deformation quantization on singular symplectic quotients in the situation, where the coefficients of the moment map define a complete intersection. Several examples are discussed, among others one where the singularity type is worse than an orbifold singularity.

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