Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids (Q6084388)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids |
scientific article; zbMATH DE number 7772607
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids |
scientific article; zbMATH DE number 7772607 |
Statements
Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids (English)
0 references
30 November 2023
0 references
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.
0 references
symplectic Lie algebroids
0 references
Marsden-Weinstein reduction
0 references
Darboux-Moser-Weinstein theorem
0 references