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.
Citation
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
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