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2016 Higher torsion and secondary transfer of unipotent bundles
Bernard Badzioch, Wojciech Dorabiała
Geom. Topol. 20(4): 1807-1857 (2016). DOI: 10.2140/gt.2016.20.1807


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.


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Bernard Badzioch. Wojciech Dorabiała. "Higher torsion and secondary transfer of unipotent bundles." Geom. Topol. 20 (4) 1807 - 1857, 2016.


Received: 27 December 2012; Revised: 26 April 2015; Accepted: 28 October 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1375.19012
MathSciNet: MR3548459
Digital Object Identifier: 10.2140/gt.2016.20.1807

Primary: 19J10
Secondary: 55R10

Keywords: higher torsion , Reidemeister torsion , unipotent bundle

Rights: Copyright © 2016 Mathematical Sciences Publishers

Vol.20 • No. 4 • 2016
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