Homotopy orbits of free loop spaces

• Autorzy: Marcel Bökstedt , Iver Ottosen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55P35: Loop spaces
• 55N91: Equivariant homology and cohomology
• 55R12: Transfer

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 162
• Numer: 3
• Strony: 251-275

Daty

wydano

1999

otrzymano

1998-10-29

poprawiono

1999-06-09

Twórcy

autor

Marcel Bökstedt

• Department of Mathematics, University of Aarhus, Ny Munkegade, DK-8000 Århus C, Denmark

autor

Iver Ottosen

• Département de Mathématiques, Université de Paris Nord, URA 742 du CNRS, Avenue Jean-Baptiste Clément, F-93430 Villetaneuse, France

Bibliografia

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