Homotopy orbits of free loop spaces -

TY - JOUR

T1 - Homotopy orbits of free loop spaces -

AU - Bökstedt, Marcel

AU - Ottosen, Iver

PY - 2000

Y1 - 2000

N2 - 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 φ : ℓ(R) → H* (ES1 ×S1 ΛX). When X is 1-connected and R is a symmetric algebra we show that these are isomorphisms.

AB - 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 φ : ℓ(R) → H* (ES1 ×S1 ΛX). When X is 1-connected and R is a symmetric algebra we show that these are isomorphisms.

UR - http://www.scopus.com/inward/record.url?scp=0034355821&partnerID=8YFLogxK

M3 - Journal article

AN - SCOPUS:0034355821

SN - 0016-2736

VL - 162

SP - 251

EP - 275

JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

IS - 3

ER -