The authors prove existence and classification of associative half-densities on symplectic groupoids and apply them to interpret semiclassical factors in Kontsevich quantization, recovering Duflo and Kashiwara-Vergne factors canonically for linear Poisson structures.
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Associative half-densities on symplectic groupoids and quantization
The authors prove existence and classification of associative half-densities on symplectic groupoids and apply them to interpret semiclassical factors in Kontsevich quantization, recovering Duflo and Kashiwara-Vergne factors canonically for linear Poisson structures.