Homotopy orbits of free loop spaces
Tom 162 / 1999
Fundamenta Mathematicae 162 (1999), 251-275
DOI: 10.4064/fm-162-3-251-275
Streszczenie
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.
