On the Leibniz cohomology of vector fields

Details On the Leibniz cohomology of vector fields On the Leibniz cohomology of vector fields

2000-05-12

arxiv.org/abs/math/0005126v3

Annals of Global Analysis and Geometry 21 (2002), 177-190

Mathematics

K-Theory and Homology

12 pages

Scientific paper

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.

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