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Gelfand-Fuchs cohomology of invariant formal vector fields

Ilya Shapiro, Xiang Tang

math.RTarXiv:math/0607582

Abstract

Let Γ be a finite group acting linearly on a vector space V. We compute the Lie algebra cohomology of the Lie algebra of Γ-invariant formal vector fields on V. We use this computation to define characteristic classes for foliations on orbifolds.

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