Equivalence of higher torsion invariants

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

Research output: Contribution to journalArticle

3 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)2192-2232
Number of pages41
JournalAdvances in Mathematics
Volume226
Issue number3
DOIs
StatePublished - Feb 15 2011

Fingerprint

Torsion
Equivalence
Invariant
Axioms
Bundle
Directly proportional

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Badzioch, Bernard ; Dorabiała, Wojciech ; Klein, John R. ; Williams, Bruce. / Equivalence of higher torsion invariants. In: Advances in Mathematics. 2011 ; Vol. 226, No. 3. pp. 2192-2232.
@article{c86f989031a04b9fb1dad9d691a27682,
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 Dorabiała and Klein, {John R.} and Bruce Williams",
year = "2011",
month = "2",
day = "15",
doi = "10.1016/j.aim.2010.09.017",
language = "English (US)",
volume = "226",
pages = "2192--2232",
journal = "Advances in Mathematics",
issn = "0001-8708",
publisher = "Academic Press Inc.",
number = "3",

}

Badzioch, B, Dorabiała, W, Klein, JR & Williams, B 2011, 'Equivalence of higher torsion invariants', Advances in Mathematics, vol. 226, no. 3, pp. 2192-2232. https://doi.org/10.1016/j.aim.2010.09.017

Equivalence of higher torsion invariants. / Badzioch, Bernard; Dorabiała, Wojciech; Klein, John R.; Williams, Bruce.

In: Advances in Mathematics, Vol. 226, No. 3, 15.02.2011, p. 2192-2232.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Equivalence of higher torsion invariants

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.

UR - http://www.scopus.com/inward/record.url?scp=78649443312&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78649443312&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2010.09.017

DO - 10.1016/j.aim.2010.09.017

M3 - Article

AN - SCOPUS:78649443312

VL - 226

SP - 2192

EP - 2232

JO - Advances in Mathematics

JF - Advances in Mathematics

SN - 0001-8708

IS - 3

ER -