Geodesic
Homotopy orbits of free loop spaces
Fundamenta Mathematicae, Tome 162 (1999) no. 3, pp. 251-275.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let X be a space with free loop space ΛX and mod two cohomology R = H*X. We construct functors $Ω_λ(R)$ and ℓ(R) together with algebra homomorphisms $e: Ω_λ(R) → H*(ΛX)$ and $ψ: ℓ(R) → H*(ES^1×_{S^1}ΛX)$. When X is 1-connected and R is a symmetric algebra we show that these are isomorphisms.
DOI : 10.4064/fm-162-3-251-275

Marcel Bökstedt 1 ; Iver Ottosen 1

1 
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Marcel Bökstedt; Iver Ottosen. Homotopy orbits of free loop spaces. Fundamenta Mathematicae, Tome 162 (1999) no. 3, pp. 251-275. doi : 10.4064/fm-162-3-251-275. http://geodesic.mathdoc.fr/articles/10.4064/fm-162-3-251-275/

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