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arXiv · 1109.5011

Glanon groupoids

Madeleine Jotz·Mathieu Stiénon·Ping Xu
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Abstract

We introduce the notion of Glanon groupoids, which are Lie groupoids equipped with multiplicative generalized complex structures. It combines symplectic groupoids, holomorphic Lie groupoids and holomorphic Poisson groupoids into a unified framework. Their infinitesimal, Glanon Lie algebroids are studied. We prove that there is a bijection between Glanon Lie algebroids and source-simply connected and source-connected Glanon groupoids. As a consequence, we recover various integration theorem and obtain the integration theorem for holomorphic Poisson groupoids.

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BibTeXRIS

Madeleine Jotz, Mathieu Stiénon, Ping Xu. 2011-09-23. Glanon groupoids. https://doi.org/10.1007/s00208-015-1222-z

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