Mathematical Research Letters

Volume 15, Issue 1, January 2008 pp. 129-148.

Gelfand-Fuchs cohomology of invariant formal vector fields

Authors: Ilya Shapiro (1) and Xiang Tang (2)
Author institution: Max Planck Institute for Mathematics (1) and Washington University (2)

Summary: 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.

Contents Full-Text PDF