Higher torsion and secondary transfer of unipotent bundles
Algebraic Topology
2016-09-21 v2 K-Theory and Homology
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
Cite
@article{arxiv.1212.6578,
title = {Higher torsion and secondary transfer of unipotent bundles},
author = {Bernard Badzioch and Wojciech Dorabiala},
journal= {arXiv preprint arXiv:1212.6578},
year = {2016}
}
Comments
48 pages, final version to appear in Geometry and Topology