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arxiv: 1212.6578 · v2 · pith:LTLJMK7Znew · submitted 2012-12-29 · 🧮 math.AT · math.KT

Higher torsion and secondary transfer of unipotent bundles

classification 🧮 math.AT math.KT
keywords torsionhigherbundlebundlessecondarysmoothtransferunipotent
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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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