Iterated doubles of the Joker and their realisability

Baker, A. (2018) Iterated doubles of the Joker and their realisability. Homology, Homotopy and Applications, 20(2), pp. 341-360. (doi: 10.4310/HHA.2018.v20.n2.a17)

Abstract

Let A(1)^* be the subHopf algebra of the mod2 Steenrod algebra A^* generated by Sq^1 and Sq^2. The Joker is the cyclic A(1)^*-module A(1)^*/A(1)^*{Sq^3} which plays a special role in the study of A(1)^*-modules. We discuss realisations of the Joker both as an A^*-module and as the cohomology of a spectrum. We also consider analogous A(n)^*-modules for n=>2 and prove realisability results for n=2,3 and non-realisability results for n=>4.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Baker, Dr Andrew
• Authors: Baker, A.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Research Group: Geometry & Topology
• Journal Name: Homology, Homotopy and Applications
• Publisher: International Press
• ISSN: 1532-0073
• ISSN (Online): 1532-0081
• Copyright Holders: Copyright © 2018 The Author
• First Published: First published in Homology, Homotopy and Applications 20(2):341-360
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher