Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516297 | Topology | 2005 | 32 Pages |
Abstract
Let X be a 1-connected space with free-loop space ÎX. We introduce two spectral sequences converging towards H*(ÎX;Z/p) and H*((ÎX)hT;Z/p). The E2-terms are certain non-Abelian-derived functors 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 is a surprising fact that the spectral sequences collapse for p=2.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Marcel Bökstedt, Iver Ottosen,