References & Citations
Mathematics > Differential Geometry
Title: Manin pairs and moment maps revisited
(Submitted on 26 Apr 2024)
Abstract: The notion of quasi-Poisson $G$-spaces with $D/G$-valued moment maps was introduced by Alekseev and Kosmann-Schwarzbach in 1999. Our main result is a \emph{Lifting Theorem}, establishing a bijective correspondence between the categories of quasi-Poisson $G$-spaces with $D/G$-valued moment maps and of quasi-Poisson $G\times G$-spaces with $D$-valued moment maps. Using this result, we give simple constructions of fusion and conjugation for these spaces, and new examples coming from moduli spaces.
Submission history
From: Eckhard Meinrenken [view email][v1] Fri, 26 Apr 2024 16:37:59 GMT (6107kb,D)
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