Affinoid structures and connections
Kirill Mackenzie (2000)
Banach Center Publications
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Kirill Mackenzie (2000)
Banach Center Publications
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Popescu, Liviu (2009)
Balkan Journal of Geometry and its Applications (BJGA)
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Zhang-Ju Liu (2000)
Banach Center Publications
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Dirac structures are characterized in terms of their characteristic pairs defined in this note and then Poisson reductions are discussed from the point of view of Dirac structures.
Camilo Arias Abad, Marius Crainic (2011)
Annales de l’institut Fourier
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This paper belongs to a series of papers devoted to the study of the cohomology of classifying spaces. Generalizing the Weil algebra of a Lie algebra and Kalkman’s BRST model, here we introduce the Weil algebra associated to any Lie algebroid . We then show that this Weil algebra is related to the Bott-Shulman complex (computing the cohomology of the classifying space) via a Van Est map and we prove a Van Est isomorphism theorem. As application, we generalize and find a simpler more...
Jan Kubarski (1998)
Banach Center Publications
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The following two homotopic notions are important in many domains of differential geometry: - homotopic homomorphisms between principal bundles (and between other objects), - homotopic subbundles. They play a role, for example, in many fundamental problems of characteristic classes. It turns out that both these notions can be - in a natural way - expressed in the language of Lie algebroids. Moreover, the characteristic homomorphisms of principal bundles (the Chern-Weil homomorphism [K4],...
Charles-Michel Marle
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We begin with a short presentation of the basic concepts related to Lie groupoids and Lie algebroids, but the main part of this paper deals with Lie algebroids. A Lie algebroid over a manifold is a vector bundle over that manifold whose properties are very similar to those of a tangent bundle. Its dual bundle has properties very similar to those of a cotangent bundle: in the graded algebra of sections of its exterior powers, one can define an operator similar to the exterior derivative....
Martínez, Eduardo (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Ciccoli, N. (2001)
Acta Mathematica Universitatis Comenianae. New Series
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Neumaier, Nikolai, Waldmann, Stefan (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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