Homology of equivariant vector fields
Differential Geometry
2008-04-19 v2 Representation Theory
Abstract
Let K be a compact Lie group. We compute the abelianization of the Lie algebra of equivariant vector fields on a smooth K-manifold X. We also compute the abelianization of the Lie algebra of strata preserving smooth vector fields on the quotient X/K.
Cite
@article{arxiv.math/0609081,
title = {Homology of equivariant vector fields},
author = {Gerald W. Schwarz},
journal= {arXiv preprint arXiv:math/0609081},
year = {2008}
}
Comments
Minor corrections. To appear in PAMQ