Higher torsion and secondary transfer of unipotent bundles

Bernard Badzioch; Wojciech Dorabiała

doi:10.2140/gt.2016.20.1807

Higher torsion and secondary transfer of unipotent bundles

Bernard Badzioch
, Wojciech Dorabiała

Mathematics

Pennsylvania State University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 language	English
Pages (from-to)	1807-1857
Number of pages	51
Journal	Geometry and Topology
Volume	20
Issue number	4
DOIs	https://doi.org/10.2140/gt.2016.20.1807
State	Published - Sep 15 2016

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10.2140/gt.2016.20.1807

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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.",

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AB - 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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JO - Geometry and Topology

JF - Geometry and Topology

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Higher torsion and secondary transfer of unipotent bundles

Abstract

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