Produits semi-directs acycliques
Copyright policy )Produits semi-directs acycliques
On relie, dans cet article, l'homologie du classifiant pour les ''variations'' de \(\Gamma\)-structures à l'homologie à coefficients tordus du groupe des difféomorphismes, considéré comme groupe discret. Certains résultats d'acyclicité sont donnés, en particulier pour l'homologie du groupe linéaire d'un espace vectoriel de dimension infinie à coefficients dans l'action adjointe.
Homological methods in group theory, classifying space of foliations, Classifying spaces for foliations; Gelfand-Fuks cohomology, groups of diffeomorphisms with discrete topology, Deformations of general structures on manifolds, Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.), variations of Haefliger structures, Gamma-structures
Homological methods in group theory, classifying space of foliations, Classifying spaces for foliations; Gelfand-Fuks cohomology, groups of diffeomorphisms with discrete topology, Deformations of general structures on manifolds, Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.), variations of Haefliger structures, Gamma-structures
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