Gelfand-Fuchs cohomology of invariant formal vector fields
- Author(s): Shapiro, Ilya
- Tang, Xiang
- et al.
Published Web Locationhttps://arxiv.org/pdf/math/0607582.pdf
Let $\Gamma$ be a finite group acting linearly on a vector space $V$. We compute the Lie algebra cohomology of the Lie algebra of $\Gamma$-invariant formal vector fields on $V$. We use this computation to define characteristic classes for foliations on orbifolds.