Lean, M.J., Stiénon, M. and Xu, P. (2015) Glanon groupoids. Mathematische Annalen. ISSN 0025-5831
Abstract
We introduce the notions of Glanon groupoids, which are Lie groupoids equipped with multiplicative generalized complex structures, and of Glanon algebroids, their infinitesimal counterparts. Both symplectic and holomorphic Lie groupoids are particular instances of Glanon groupoids. We prove that there is a bijection between Glanon algebroids on one hand and source connected and source-simply connected Glanon groupoids on the other. As a consequence, we recover various known integrability results and obtain the integration of holomorphic Lie bialgebroids to holomorphic Poisson groupoids.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015 Springer Verlag. This is an author produced version of a paper subsequently published in Mathematische Annalen. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 16 Oct 2015 16:16 |
Last Modified: | 16 Nov 2016 10:15 |
Published Version: | https://doi.org/10.1007/s00208-015-1222-z |
Status: | Published |
Publisher: | Springer Verlag |
Refereed: | Yes |
Identification Number: | 10.1007/s00208-015-1222-z |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:89090 |