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Leibniz cohomology for differentiable manifolds

Leibniz cohomology for differentiable manifolds

We propose a definition of Leibniz cohomology, HL * , for differentiable manifolds. Then HL * becomes a non-commutative version of Gelfand-Fuks cohomology. The calculations of HL * (R n ;R) reduce to those of formal vector fields, and can be identified with certain invariants of foliations.