Title: Graded manifolds and vector bundles: A functorial correspondence
Abstract:A functorial correspondence between the category of graded manifolds and the category of vectors bundles is given. Given a graded manifold (X,A), a vector bundle G over X is given as a subset of the p...A functorial correspondence between the category of graded manifolds and the category of vectors bundles is given. Given a graded manifold (X,A), a vector bundle G over X is given as a subset of the product X×A0 where A0 is the dual coalgebra of A. This bundle has an obvious coalgebra structure on each fiber. The correspondence is achieved by showing that the sheaf A is isomorphic as a sheaf of algebras to the sheaf of sections of the vector bundle G′ dual to G.Read More
Publication Year: 1985
Publication Date: 1985-07-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 8
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