On the Leibniz cohomology of vector fields

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I. M. Gelfand and D. B. Fuks have studied the cohomology of the Lie algebra of vector fields on a manifold. In this article, we generalize their main tools to compute the Leibniz cohomology, by extending the two spectral sequences associated to the diagonal and the order filtration. In particular, we determine some new generators for the diagonal Leibniz cohomology of the Lie algebra of vector fields on the circle.
12 pages

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K-Theory and Homology, 17A32; 17B56; 17B66

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http://salesiana.dossiersoluciones.com/handle/123456789/59182

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0005126
 http://arxiv.org/abs/math/0005126
 Annals of Global Analysis and Geometry 21 (2002), 177-190

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arXiv