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Reduction along strong Dirac maps
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DOI：10.1112/plms.70123.png)
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Abstract
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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.
Keywords:
POISSON GEOMETRY
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