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2020 The Topological Period-Index Conjecture for spin$^c$ $6$-manifolds
Diarmuid Crowley, Mark Grant
Ann. K-Theory 5(3): 605-620 (2020). DOI: 10.2140/akt.2020.5.605

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.

Citation

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Diarmuid Crowley. Mark Grant. "The Topological Period-Index Conjecture for spin$^c$ $6$-manifolds." Ann. K-Theory 5 (3) 605 - 620, 2020. https://doi.org/10.2140/akt.2020.5.605

Information

Received: 4 February 2020; Revised: 10 February 2020; Accepted: 25 February 2020; Published: 2020
First available in Project Euclid: 11 August 2020

zbMATH: 07237243
MathSciNet: MR4132748
Digital Object Identifier: 10.2140/akt.2020.5.605

Subjects:
Primary: 57R19
Secondary: 14F22 , 19L50

Keywords: Brauer groups , period-index problems , twisted $K$-theory

Rights: Copyright © 2020 Mathematical Sciences Publishers

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