Homology of equivariant vector fields

Mathematics – Differential Geometry

Scientific paper

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Minor corrections. To appear in PAMQ

Scientific paper

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.

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