Absolute Whitehead torsion

الأصل · EN

We refine the Whitehead torsion of a chain equivalence of finite chain complexes in an additive category from an element of Kiso₁() to an element of the absolute group K₁iso(). We apply this invariant to symmetric Poincaré complexes and identify it in terms of more traditional invariants. In the companion paper [1] (joint with Ian Hambleton and Andrew Ranicki) this new invariant is applied to obtain the multiplicativity of the signature of fibre bundles mod 4.