Equivalence of higher torsion invariants

Bernard Badzioch; Wojciech Dorabiała; John R. Klein; Bruce Williams

doi:10.1016/j.aim.2010.09.017

Equivalence of higher torsion invariants

Bernard Badzioch, Wojciech Dorabiała, John R. Klein, Bruce Williams

Division of Mathematics & Natural Sciences (Altoona)

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

7 Scopus citations

Abstract

We show that the smooth torsion of bundles of manifolds constructed by Dwyer, Weiss, and Williams satisfies the axioms for higher torsion developed by Igusa. As a consequence we obtain that the smooth Dwyer-Weiss-Williams torsion is proportional to the higher torsion of Igusa and Klein.

Original language	English (US)
Pages (from-to)	2192-2232
Number of pages	41
Journal	Advances in Mathematics
Volume	226
Issue number	3
DOIs	https://doi.org/10.1016/j.aim.2010.09.017
State	Published - Feb 15 2011

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.aim.2010.09.017

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title = "Equivalence of higher torsion invariants",

abstract = "We show that the smooth torsion of bundles of manifolds constructed by Dwyer, Weiss, and Williams satisfies the axioms for higher torsion developed by Igusa. As a consequence we obtain that the smooth Dwyer-Weiss-Williams torsion is proportional to the higher torsion of Igusa and Klein.",

author = "Bernard Badzioch and Wojciech Dorabia{\l}a and Klein, {John R.} and Bruce Williams",

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AU - Badzioch, Bernard

AU - Dorabiała, Wojciech

AU - Klein, John R.

AU - Williams, Bruce

PY - 2011/2/15

Y1 - 2011/2/15

N2 - We show that the smooth torsion of bundles of manifolds constructed by Dwyer, Weiss, and Williams satisfies the axioms for higher torsion developed by Igusa. As a consequence we obtain that the smooth Dwyer-Weiss-Williams torsion is proportional to the higher torsion of Igusa and Klein.

AB - We show that the smooth torsion of bundles of manifolds constructed by Dwyer, Weiss, and Williams satisfies the axioms for higher torsion developed by Igusa. As a consequence we obtain that the smooth Dwyer-Weiss-Williams torsion is proportional to the higher torsion of Igusa and Klein.

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SP - 2192

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JO - Advances in Mathematics

JF - Advances in Mathematics

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Equivalence of higher torsion invariants

Abstract

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