Higher Whitehead torsion and the geometric assembly map

Details Higher Whitehead torsion and the geometric assembly map Higher Whitehead torsion and the geometric assembly map

2011-05-11

arxiv.org/abs/1105.2116v2

Mathematics

K-Theory and Homology

46 pages. Revised version following the referee's suggestions. To appear in Journal of Topology

Scientific paper

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.

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