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

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    Author
    Crowley, D; Grant, M
    Date
    2020-01-01
    Source Title
    Annals of K-Theory
    Publisher
    MATHEMATICAL SCIENCE PUBL
    University of Melbourne Author/s
    Crowley, Diarmuid
    Affiliation
    School of Mathematics and Statistics
    Metadata
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    Document Type
    Journal Article
    Citations
    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 Access
    URI
    http://hdl.handle.net/11343/254324
    DOI
    10.2140/akt.2020.5.605
    Description

    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.

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