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- Marcel Bökstedt, Iver Ottosen
- 2004

Let X be a 1-connected compact space such that the algebra H * (X; F 2) is generated by one single element. We compute the co-homology of the free loop space H * (ΛX; F 2) including the Steenrod algebra action. When X is a projective space C P n , H P n , the Cay-ley projective plane Ca P 2 or a sphere S m we obtain a splitting result for integral and mod… (More)

- Marcel Bökstedt, Iver Ottosen
- 1999

Let X be a space with free loop space ΛX and mod two co-homology 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. The purpose of this paper is to present a new approach to the… (More)

- Marcel Bökstedt, Iver Ottosen
- 2008

Let X be a 1-connected space with free loop space ΛX. We introduce two spectral sequences converging towards H * (ΛX; Z/p) and H * ((ΛX) hT ; Z/p). The E 2-terms are certain non Abelian derived func-tors applied to H * (X; Z/p). When H * (X; Z/p) is a polynomial algebra , the spectral sequences collapse for more or less trivial reasons. If X is a sphere it… (More)

- Marcel Bökstedt, Iver Ottosen
- 2005

Let M be one of the projective spaces CP n , HP n for n ≥ 2 or the Cayley projective plane OP 2 , and let ΛM denote the free loop space on M. Using Morse theory methods, we prove that the suspension spectrum of (ΛM) + is homotopy equivalent to the suspension spectrum of M + wedge a family of Thom spaces of explicit vector bundles over the tangent sphere… (More)

- Marcel Bökstedt, Iver Ottosen
- 2004

We give a particular choice of the higher Eilenberg-MacLane maps by a recursive formula. This choice leads to a simple description of the homotopy operations for simplicial Z/2-algebras.

- Iver Ottosen
- 2000

There is a natural evaluation map on the free loop space ΛX → X k which sends a loop to its values at the kth roots of unity. This map is equivariant with respect to the action of the cyclic group on k elements C k. We study the induced map in C k-equivariant cohomology with mod two coefficients in the cases where k = 2 m for m ≥ 1.

- Iver Mølgaard, Iver Ottosen
- 2016

General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. ? Users may download and print one copy of any publication from… (More)

General rights Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. ? Users may download and print one copy of any publication from… (More)

We show that the space of directed paths on the $$k$$ k -skeleton of the $$n$$ n -cube is homotopy equivalent to the nerve of a certain category of flags of finite sets.

- Marcel Bökstedt, Iver Ottosen
- 2008

Let X be a space and write LX for its free loop space equipped with the action of the circle group T given by dilation. We compute the equivariant cohomology H * (LX hT ; Z/p) as a module over H * (BT; Z/p) when X = CP r for any positive integer r and any prime number p. The computation implies that the associated mod p Serre spectral sequence collapses… (More)