Recognition: unknown
Higher Whitehead torsion and the geometric assembly map
classification
🧮 math.KT
math.GT
keywords
torsionwhiteheadassemblygeometrichigherspacesalgebraicclassical
read the original 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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