Riemann-Roch theorem for higher bivariant K-functors
[Théorème de Riemann-Roch pour les K-foncteurs supérieurs bivariants]
Levy, Roni N.1
1 Sofia University Faculty of Mathematics and Informatics Bd. J.Bourchier 5 Sofia 1164 (Bulgaria)
Annales de l'Institut Fourier, Tome 58 (2008) no. 2, pp. 571-601.

On définie une transformation naturelle de type Riemann-Roch entre les K-théories algébrique et topologique supérieures bivariantes dans la catégorie des espaces complexes.

One defines a Riemann-Roch natural transformation from algebraic to topological higher bivariant K-theory in the category of complex spaces.

DOI : 10.5802/aif.2361
Classification : 19L10, 19D99
Keywords: Perfect sheaf, classifying space of the category, K-groups
Mot clés : faisceau parfait, espace classifié de la catégorie, K-groupes
Levy, Roni N. 1

1 Sofia University Faculty of Mathematics and Informatics Bd. J.Bourchier 5 Sofia 1164 (Bulgaria) 
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Levy, Roni N. Riemann-Roch theorem for higher bivariant K-functors. Annales de l'Institut Fourier, Tome 58 (2008) no. 2, pp. 571-601. doi : 10.5802/aif.2361. http://www.numdam.org/articles/10.5802/aif.2361/

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