Homology of equivariant vector fields
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Publication:547848
DOI10.4310/PAMQ.2010.V6.N2.A5zbMATH Open1229.57028arXivmath/0609081MaRDI QIDQ547848
Publication date: 27 June 2011
Published in: Pure and Applied Mathematics Quarterly (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/math/0609081
Vector fields, frame fields in differential topology (57R25) Compact Lie groups of differentiable transformations (57S15) Compact groups (22C05)
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