Mathematical Research Letters

Volume 15 (2008)

Number 1

Gelfand-Fuchs cohomology of invariant formal vector fields

Pages: 129 – 148



Ilya Shapiro (Max Planck Institute for Mathematics)

Xiang Tang (Washington University)


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.

Published 1 January 2008