Reduction along strong Dirac maps
Symplectic Geometry
2026-04-29 v3 Differential Geometry
Representation Theory
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 analogues of several classes of spaces that are studied in geometric representation theory.
Cite
@article{arxiv.2210.07200,
title = {Reduction along strong Dirac maps},
author = {Ana Balibanu and Maxence Mayrand},
journal= {arXiv preprint arXiv:2210.07200},
year = {2026}
}
Comments
Final version, to appear