Abstract
We refine the Whitehead torsion of a chain equivalence of finite chain complexes in an additive category from an element of to an element of the absolute group . We apply this invariant to symmetric Poincaré complexes and identify it in terms of more traditional invariants. In the companion paper (joint with Ian Hambleton and Andrew Ranicki) this new invariant is applied to obtain the multiplicativity of the signature of fibre bundles mod 4.
Citation
Andrew Korzeniewski. "Absolute Whitehead torsion." Geom. Topol. 11 (1) 215 - 249, 2007. https://doi.org/10.2140/gt.2007.11.215
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