The monodromy groupoid of a Lie groupoid
Ronald Brown, Osman Mucuk (1995)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Ronald Brown, Osman Mucuk (1995)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Kirill Mackenzie (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Marius Crainic, Ivan Struchiner (2013)
Annales scientifiques de l'École Normale Supérieure
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We revisit the linearization theorems for proper Lie groupoids around general orbits (statements and proofs). In the fixed point case (known as Zung’s theorem) we give a shorter and more geometric proof, based on a Moser deformation argument. The passage to general orbits (Weinstein) is given a more conceptual interpretation: as a manifestation of Morita invariance. We also clarify the precise statements of the Linearization Theorem (there has been some confusion on this, which has propagated...
Kirill Mackenzie (1987)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Ronald Brown, Osman Mucuk (1996)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Piotr Stachura (2000)
Banach Center Publications
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A. Szybiak (1972)
Colloquium Mathematicae
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Ivan Kolář (2007)
Banach Center Publications
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For every Lie groupoid Φ with m-dimensional base M and every fiber product preserving bundle functor F on the category of fibered manifolds with m-dimensional bases and fiber preserving maps with local diffeomorphisms as base maps, we construct a Lie groupoid ℱ Φ over M. Every action of Φ on a fibered manifold Y → M is extended to an action of ℱ Φ on FY → M.
Kamps, K.H., Porter, T. (1999)
Homology, Homotopy and Applications
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