Geometry & Topology

Higher torsion and secondary transfer of unipotent bundles

Bernard Badzioch and Wojciech Dorabiała

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Given a unipotent bundle of smooth manifolds we construct its secondary transfer map and show that this map determines the higher smooth torsion of the bundle. This approach to higher torsion provides a new perspective on some of its properties. In particular it yields in a natural way a formula for torsion of a composition of two bundles.

Article information

Geom. Topol., Volume 20, Number 4 (2016), 1807-1857.

Received: 27 December 2012
Revised: 26 April 2015
Accepted: 28 October 2015
First available in Project Euclid: 16 November 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 19J10: Whitehead (and related) torsion
Secondary: 55R10: Fiber bundles

Reidemeister torsion higher torsion unipotent bundle


Badzioch, Bernard; Dorabiała, Wojciech. Higher torsion and secondary transfer of unipotent bundles. Geom. Topol. 20 (2016), no. 4, 1807--1857. doi:10.2140/gt.2016.20.1807.

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