|
|||||
 |
|
|
|
$K$-theoretic torsion and
the zeta function
John R. Klein and Cary Malkiewich |
|
Vol. 7 (2022), No. 1, 77–118
|
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
3.236.24.215
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
|
Authors |
| John R. Klein | |
| Department of Mathematics Wayne State University Detroit, MI United States |
|
| Cary Malkiewich | |
| Department of Mathematical
Sciences Binghamton University Binghamton, NY United States |
|
