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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Higher torsion and secondary transfer of unipotent bundles

Bernard Badzioch and Wojciech Dorabiała

Geometry & Topology 20 (2016) 1807–1857
Abstract

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.

Keywords
Reidemeister torsion, higher torsion, unipotent bundle
Mathematical Subject Classification 2010
Primary: 19J10
Secondary: 55R10
References
Publication
Received: 27 December 2012
Revised: 26 April 2015
Accepted: 28 October 2015
Published: 15 September 2016
Proposed: Ralph Cohen
Seconded: John Lott, Steve Ferry
Authors
Bernard Badzioch
Department of Mathematics
University at Buffalo
SUNY
244 Mathematics Building
Buffalo, NY 14260
United States
Wojciech Dorabiała
Department of Mathematics
Penn State Altoona
3000 Ivyside Park
Altoona, PA 16601
United States