3 citations · 5 across the 7 of their papers we have counts for
7 papers
A Hochschild-Kostant-Rosenberg theorem for cyclic homology
Marcel Bökstedt, Iver Ottosen
Let be a commutative algebra over the field . We show that there is a natural algebra homomorphism which is an isomorphi…
On vector bundles for a Morse decomposition of
Iver Ottosen
We give a description of the negative bundles for the energy integral on the free loop space in terms of circle vector bundles over projective Stiefel m…
String cohomology groups of complex projective spaces
Marcel Bokstedt, Iver Ottosen
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 m…
The suspended free loop space of a symmetric space
Marcel Bokstedt, Iver Ottosen
Let M be one of the projective spaces CP^n, HP^n for n>1 or the Cayley projective plane OP^2, and let LM denote the free loop space on M. Using Morse theory methods, we prove that…
An alternative approach to homotopy operations
Marcel Bokstedt, Iver Ottosen
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-alge…
A splitting result for the free loop space of spheres and projective spaces
Marcel Bokstedt, Iver Ottosen
Let X be a 1-connected compact space such that the algebra H*(X;Z/2) is generated by one single element. We compute the cohomology of the free loop space H*(LX;Z/2) including the S…