|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Iterated traces in
$2$–categories and Lefschetz theorems
Jonathan A Campbell and Kate Ponto |
|
Algebraic & Geometric Topology 22 (2022) 815–879
|
Abstract |
|
While not obvious from its initial motivation in linear algebra, there are many contexts where iterated traces can be defined. We prove a very general theorem about iterated –categorical traces. We show that many Lefschetz-type theorems in the literature are consequences of this result and the new perspective we provide allows for immediate spectral generalizations. |
PDF Access Denied
We have not been able to recognize your IP address
3.144.172.115
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
2-categories, Lefschetz theorems, traces, duality, iterated
traces, Hochschild homology, monoidal bicategory
|
Mathematical Subject Classification
Primary: 18N10, 19K14, 37C25
|
References |
Publication
Received: 22 July 2020
Revised: 27 October 2020
Accepted: 19 November 2020
Published: 3 August 2022
|
Authors |
| Jonathan A Campbell | |
| Center for Communications Research,
La Jolla San Diego, CA United States |
|
| Kate Ponto | |
| Department of Mathematics University of Kentucky Lexington, KY United States |
|
