ottosen@mathematik.uni-bielefeld.de

Submission: 2000, Oct 25

The string cohomology of a space X is by definition the equivariant cohomology of the free loop space LX with respect to the action of the circle group. We consider the case where the coefficient ring is Z/p for an odd prime p. Here we construct a functor which approximates the string cohomology of X when applied to the ordinary cohomology of X. The functor is an endofunctor on the category of unstable algebras over the Steenrod algebra. When X is a product of Eilenberg-MacLane spaces of the form K(Z/p,n) the approximation is exact.

1991 Mathematics Subject Classification: 55N91, 55P35, 55R12

Keywords and Phrases: Cohomology of free loop spaces

Full text: dvi.gz 50 k, dvi 135 k, ps.gz 248 k, pdf.gz 270 k, pdf 326 k.

Server Home Page