Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Igusa, KiyoshiWilliams, Bruce2023-12-142023-12-142006https://oa.tib.eu/renate/handle/123456789/12656https://doi.org/10.34657/11686The purpose of this Arbeitsgemeinschaft was to study and—as far as possible—compare three generalisations of the classical Franz-Reidemeister torsion to families E → B of manifolds. Dwyer, Weiss and Williams construct higher torsion as a byproduct of a family index theorem for the fibrewise A-theory Euler-class. Igusa and Klein use generalised fibrewise Morse functions to construct a classifying map from B to a Whitehead space, and to pull-back universal classes from there. Bismut and Lott prove an analytic family index theorem for flat vector bundles and obtain the higher analytic torsion as a transgression.eng510ArticleKonferenzschrift