A homological approach to singular reduction in deformation quantization

Physics – Mathematical Physics

Scientific paper

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15 pages

Scientific paper

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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