Deformations of Lie Groupoids
2018 ◽
Vol 2020
(21)
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pp. 7662-7746
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Abstract We study deformations of Lie groupoids by means of the cohomology which controls them. This cohomology turns out to provide an intrinsic model for the cohomology of a Lie groupoid with values in its adjoint representation. We prove several fundamental properties of the deformation cohomology including Morita invariance, a van Est theorem, and a vanishing result in the proper case. Combined with Moser’s deformation arguments for groupoids, we obtain several rigidity and normal form results.
2020 ◽
Vol 2020
(760)
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pp. 267-293
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2018 ◽
Vol 2018
(735)
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pp. 143-173
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2018 ◽
Vol 15
(08)
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pp. 1830003
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Keyword(s):
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2018 ◽
Vol 24
(3)
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pp. 796-806
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2003 ◽
Vol 2003
(23)
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pp. 1465-1480
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