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Gelfand-Fuchs cohomology of invariant formal vector fields

Ilya Shapiro·Xiang Tang
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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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BibTeXRIS

Ilya Shapiro, Xiang Tang. 2006-07-23. Gelfand-Fuchs cohomology of invariant formal vector fields. https://arxiv.org/abs/math/0607582

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