The Topological Period-Index Conjecture for spin(c) 6-manifolds

Download
Citations
Altmetric
Author
Crowley, D; Grant, MDate
2020-01-01Source Title
Annals of K-TheoryPublisher
Mathematical Sciences PublishersUniversity of Melbourne Author/s
Crowley, DiarmuidAffiliation
School of Mathematics and StatisticsMetadata
Show full item recordDocument Type
Journal ArticleCitations
Crowley, D. & Grant, M. (2020). The Topological Period-Index Conjecture for spin(c) 6-manifolds. Annals of K-Theory, 5 (3), pp.605-620. https://doi.org/10.2140/akt.2020.5.605.Access Status
Open AccessDescription
First published in Annals of K-Theory in Vol. 5 (2020), No. 3, published by Mathematical Sciences Publishers. © 2020 Mathematical Sciences Publishers.
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 spinc 6-manifolds. We also show that it fails in general for 6-manifolds.
Export Reference in RIS Format
Endnote
- Click on "Export Reference in RIS Format" and choose "open with... Endnote".
Refworks
- Click on "Export Reference in RIS Format". Login to Refworks, go to References => Import References