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.
Amar, A comparison between Rieffel’s and Kontsevich’s deformation quantizations for linear Poisson tensors, Pacific Journal of Mathematics 229(1):1-24
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.SG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.