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Classes caracteristiques de Γ(G,H)-structures et finitude de leur evaluation

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Abstract

LetG be a Lie group andH a closed subgroup ofG. We denote by Γ(G,H) the groupoïd of germs of left translations ofG over the homogeneous spaceG/H.

LetV be a compact manifold andx the universal characteristic class of dimensionk which belongs to the vector spaceH kcont (Γ(G, H)).

The evaluation ofx over all the Γ(G, H)-structures overV determines a subsetA Г(G, H) (x, V) of the vector spaceH k(V;ℝ).

We show that in some cases this set is finite.

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Authors and Affiliations

  1. U.F.R. de Mathématiques Pures et Appliquées-U.A. 751, Université de Lille 1, F-59655, Villeneuve d'Ascq

    Youssef Hantout

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  1. Youssef Hantout
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Hantout, Y. Classes caracteristiques de Γ(G,H)-structures et finitude de leur evaluation. Manuscripta Math 62, 383–399 (1988). https://doi.org/10.1007/BF01357717

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  • DOI: https://doi.org/10.1007/BF01357717

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