Homologie des espaces de lacets des espaces de configuration

Félix, Yves ; Thomas, Jean-Claude

Annales de l'Institut Fourier, Tome 44 (1994), p. 559-568 / Harvested from Numdam

Résumé

Nous calculons dans ce texte l’homologie de l’espace des lacets de l’espace des configurations ordonnées de $k$ points dans une variété compacte simplement connexe $M$.

Abstract

We compute the loop space homology of the space $F(M,k)$ of configurations of $k$ points in a compact simply connected manifold $M$. We prove in particular that, if $H^*(M,{\Bbb Q})$ is not generated by one generator, then the rational homology of $\Omega F(M,k)$ contains a tensor algebra for $k\ge 2$.

Détail

Publié le : 1994-01-01

MR 95i:55007 | Zbl 0806.57024

DOI : https://doi.org/10.5802/aif.1409

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