Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids
In the recent paper [Int. Math. Res. Not. 2022, No. 18, 14034--14066 (2022; Zbl 1508.53093)] the authors established a ``quantization commutes with reduction'' result for log-symplectic manifolds. The article under review contains the fundamental ingredients in the proof of this result. Namely, the authors give a generalisation of the Marsden-Weinstein reduction theorem as well as the Darboux-Moser-Weinstein theorem. They give these generalisations in the context of symplectic Lie algebroids. Log symplectic manifolds are instances of structures as such.
scientific article; zbMATH DE number 7772607