This article is available for purchase or by subscription. See below.
Abstract
|
We generalize to higher algebraic
-theory
an identity (originally due to Milnor) that relates the Reidemeister torsion of an
infinite cyclic cover to its Lefschetz zeta function. Our identity involves a higher
torsion invariant, the
endomorphism torsion, of a parametrized family of
endomorphisms as well as a
higher zeta function of such a family. We also exhibit
several examples of families of endomorphisms having nontrivial endomorphism
torsion.
|
PDF Access Denied
We have not been able to recognize your IP address
3.236.46.172
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 40.00:
Keywords
zeta function, Reidemeister torsion, $K\mkern-2mu$-theory
of endomorphisms
|
Mathematical Subject Classification
Primary: 19J10, 57Q10
Secondary: 18F25
|
Milestones
Received: 23 November 2020
Revised: 8 July 2021
Accepted: 18 October 2021
Published: 20 June 2022
|
|