The Topological Period-Index Conjecture for spinc 6-manifolds

Diarmuid John Crowley; Mark Grant

doi:10.2140/akt.2020.5.605

The Topological Period-Index Conjecture for spin^c 6-manifolds

Diarmuid John Crowley, Mark Grant^* (Corresponding Author)

^*Corresponding author for this work

Mathematical Science

University of Melbourne

Research output: Contribution to journal › Article › peer-review

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Abstract

The Topological Period-Index Conjecture is an 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_c 6-manifolds. We also show that it fails in general for 6-manifolds.

Original language	English
Pages (from-to)	605-620
Number of pages	17
Journal	Annals of K-Theory
Volume	5
Issue number	3
DOIs	https://doi.org/10.2140/akt.2020.5.605
Publication status	Published - 28 Feb 2020

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**On publication email publisher and request a copy of PDF for repository - see https://msp.org/publications/policies/**

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Grant_etal_akt_Topological_VOR
First published in Annals of K-Theory in Vol. 5 (2020), No. 3, published by Mathematical Sciences Publishers, © 2020 Mathematical Sciences Publishers
Final published version, 751 KBLicence: Other

https://arxiv.org/abs/1802.01296

Mark Grant
- School of Natural & Computing Sciences, Mathematical Science - Reader
Person: Academic

Cite this

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abstract = "The Topological Period-Index Conjecture is an 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.",

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The Topological Period-Index Conjecture for spinc 6-manifolds

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The Topological Period-Index Conjecture for spin^c 6-manifolds