Browsing by Autor "Paul Bressler"

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    On the classification of symplectic DQ-algebroids
    (Masaryk University, 2022) Paul Bressler; Juan Diego Rojas
    DQ-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.