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arXiv · 1105.2116

Higher Whitehead torsion and the geometric assembly map

Wolfgang Steimle
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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.

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Wolfgang Steimle. 2012-04-17. Higher Whitehead torsion and the geometric assembly map. https://doi.org/10.1112/jtopol%2Fjts013

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