#### Volume 11, issue 1 (2007)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060

### Andrew Korzeniewski

Geometry & Topology 11 (2007) 215–249
 arXiv: math/0502349
##### Abstract

We refine the Whitehead torsion of a chain equivalence of finite chain complexes in an additive category $\mathbb{A}$ from an element of ${\stackrel{˜}{K}}_{1}^{iso}\left(\mathbb{A}\right)$ to an element of the absolute group ${K}_{1}^{iso}\left(\mathbb{A}\right)$. 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.