Reduction along strong Dirac maps
Abstract
Abstract We develop a general procedure for reduction along strong Dirac maps, which are a broad generalization of Poisson momentum maps. We recover a large number of familiar constructions in Poisson and quasi‐Poisson geometry, and we introduce new examples of Poisson, quasi‐Poisson, and Dirac‐reduced structures. In particular, we obtain quasi‐Poisson analogs of several classes of spaces that are studied in geometric representation theory.
Fields of Study & Subjects
Homotopy and Cohomology in Algebraic Topology
Advanced Algebra and Geometry
Advanced Operator Algebra Research
Publication details
- Journal / source
- Proceedings of the London Mathematical Society
- Publisher
- Wiley
- Volume
- 132
- Issue
- 2
- Publication date
- 28 January 2026
- Language
- EN