Higher torsion and secondary transfer of unipotent bundles

Bernard Badzioch, Wojciech Dorabiała

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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.

Original languageEnglish (US)
Pages (from-to)1807-1857
Number of pages51
JournalGeometry and Topology
Volume20
Issue number4
DOIs
Publication statusPublished - Sep 15 2016

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All Science Journal Classification (ASJC) codes

  • Geometry and Topology

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