Higher Whitehead torsion and the geometric assembly map
K-Theory and Homology
2014-02-26 v2 Geometric Topology
Abstract
We construct a higher Whitehead torsion map, using algebraic K-theory of spaces, and show that it satisfies the usual properties of the classical Whitehead torsion. This is used to describe a "geometric assembly map" defined on stabilized structure spaces in purely homotopy theoretic terms.
Cite
@article{arxiv.1105.2116,
title = {Higher Whitehead torsion and the geometric assembly map},
author = {Wolfgang Steimle},
journal= {arXiv preprint arXiv:1105.2116},
year = {2014}
}
Comments
46 pages. Revised version following the referee's suggestions. To appear in Journal of Topology