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arXiv · 1802.01296

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

Diarmuid Crowley·Mark Grant
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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.

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BibTeXRIS

Diarmuid Crowley, Mark Grant. 2018-02-05. The Topological Period-Index Conjecture for spin$^c$ 6-manifolds. https://doi.org/10.2140/akt.2020.5.605

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