On the Leibniz cohomology of vector fields

2000/05/29 by Alessandra Frabetti, Friedrich Wagemann
Mathematics · #math.KT #msc:17A32 #msc:17B56 #msc:17B66

paper · pdf

published as Annals of Global Analysis and Geometry 21 (2002), 177-190 · 12 pages

arxiv created 2000/05/29 · arxiv updated 2009/11/30

Abstract

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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