|
|||||
 |
|
|
|
The
Topological Period-Index Conjecture for spin$^c$
$6$-manifolds
Diarmuid Crowley and Mark Grant |
|
Vol. 5 (2020), No. 3, 605–620
|
Abstract |
|
The Topological Period-Index Conjecture is a hypothesis which relates the period and index of elements of the cohomological Brauer group of a space. It was identified by Antieau and Williams as a topological analogue of the Period-Index Conjecture for function fields. In this paper we show that the Topological Period-Index Conjecture holds and is in general sharp for spin -manifolds. We also show that it fails in general for -manifolds. |
PDF Access Denied
We have not been able to recognize your IP address
3.137.178.81
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
Brauer groups, twisted $K$-theory, period-index problems
|
Mathematical Subject Classification 2010
Primary: 57R19
Secondary: 14F22, 19L50
|
Milestones
Received: 4 February 2020
Revised: 10 February 2020
Accepted: 25 February 2020
Published: 28 July 2020
|
Authors |
| Diarmuid Crowley | |
| School of Mathematics and
Statistics The University of Melbourne Parkville Australia |
|
| Mark Grant | |
| Institute of Mathematics University of Aberdeen Aberdeen United Kingdom |
|
