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Homology of equivariant vector fields

Gerald W. Schwarz
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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.

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Gerald W. Schwarz. 2008-04-19. Homology of equivariant vector fields. https://arxiv.org/abs/math/0609081

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