The algebraic theory of moving frames

Anders Kock

Displaying similar documents to “The algebraic theory of moving frames”

Formal manifolds and synthetic theory of jet bundles

Anders Kock (1980)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Action groupoid in protomodular categories.

Bourn, Dominique (2006)

Theory and Applications of Categories [electronic only]

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Lie groupoids as generalized atlases

Jean Pradines (2004)

Open Mathematics

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Starting with some motivating examples (classical atlases for a manifold, space of leaves of a foliation, group orbits), we propose to view a Lie groupoid as a generalized atlas for the “virtual structure” of its orbit space, the equivalence between atlases being here the smooth Morita equivalence. This “structure” keeps memory of the isotropy groups and of the smoothness as well. To take the smoothness into account, we claim that we can go very far by retaining just a few formal properties...