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arXiv · 2210.07200

Reduction along strong Dirac maps

Ana Balibanu·Maxence Mayrand
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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.

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Ana Balibanu, Maxence Mayrand. 2022-10-13. Reduction along strong Dirac maps. https://arxiv.org/abs/2210.07200

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