Paul BresslerJuan Diego Rojas2026-03-222026-03-22202210.70930/tac/1b8usc3ehttps://doi.org/10.70930/tac/1b8usc3ehttps://andeanlibrary.org/handle/123456789/77801DQ-algebroids locally defined on a symplectic manifold form a 2-gerbe.By adapting the method of P. Deligne to the setting of DQ-algebroids we show that this 2-gerbe admits a canonical global section, namely that every symplectic manifold admits a canonical DQ-algebroid quantizing the structure sheaf.The construction relies on methods of non-abelian cohomology and local computations in the Weyl algebra.As a corollary we obtain a classification of symplectic DQ-algebroids.enSymplectic geometryComputer scienceMathematicsarticle