Quotients of multiplicative forms and Poisson reduction
نویسندگان
چکیده
In this paper we study quotients of Lie algebroids and groupoids endowed with compatible differential forms. We identify theoretic conditions under which such forms become basic characterize the induced on quotients. apply these results to describe generalized quotient reduction processes for (twisted) Poisson Dirac structures, as well their integration by (twisted, pre-)symplectic groupoids. particular, recover generalize several known concerning reduction.
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ژورنال
عنوان ژورنال: Differential Geometry and Its Applications
سال: 2022
ISSN: ['1872-6984', '0926-2245']
DOI: https://doi.org/10.1016/j.difgeo.2022.101898