Homotopy orbits of free loop spaces
Bökstedt, Marcel ; Ottosen, Iver
Fundamenta Mathematicae, Tome 159 (1999), p. 251-275 / Harvested from The Polish Digital Mathematics Library
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Let X be a space with free loop space ΛX and mod two cohomology R = H*X. We construct functors Ωλ(R) and ℓ(R) together with algebra homomorphisms e:Ωλ(R)→H*(ΛX) and ψ:ℓ(R)→H*(ES1×S1ΛX). When X is 1-connected and R is a symmetric algebra we show that these are isomorphisms.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:212423 
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     author = {Marcel B\"okstedt and Iver Ottosen},
     title = {Homotopy orbits of free loop spaces},
     journal = {Fundamenta Mathematicae},
     volume = {159},
     year = {1999},
     pages = {251-275},
     zbl = {0952.55006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv162i3p251bwm}
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Bökstedt, Marcel; Ottosen, Iver. Homotopy orbits of free loop spaces. Fundamenta Mathematicae, Tome 159 (1999) pp. 251-275. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv162i3p251bwm/

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