March 5, 2024Open Access

Reduction of Cosymplectic Groupoids

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Abstract

There is a well-known fact in Poisson geometry that reduction commutes with integration (of the associated integrable Lie algebroid). This is also valid for other types of geometries given by 2-dimensional closed forms. In this manuscript we extend this type of result to the particular case of cosymplectic groupoids, obtaining in particular the reduction of a central extension defined by a 2-IM form and a 1-IM form.

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García et al. (Tue,) studied this question.

synapsesocial.com/papers/68e75b28b6db6435876d253e https://doi.org/https://doi.org/10.48550/arxiv.2403.03178

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