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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Morava $E$-homology of Bousfield-Kuhn functors on odd-dimensional spheres
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by Yifei Zhu PDF
Proc. Amer. Math. Soc. 146 (2018), 449-458 Request permission

Abstract:

As an application of Behrens and Rezk’s spectral algebra model for unstable $v_n$-periodic homotopy theory, we give explicit presentations for the completed $E$-homology of the Bousfield-Kuhn functor on odd-dimensional spheres at chromatic level $2$, and compare them to the level $1$ case. The latter reflects earlier work in the literature on $K$-theory localizations.
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Additional Information
  • Yifei Zhu
  • Affiliation: Department of Mathematics, Southern University of Science and Technology, Shenzhen, Guangdong 518055, People’s Republic of China
  • MR Author ID: 1050537
  • Email: zhuyf@sustc.edu.cn
  • Received by editor(s): January 22, 2017
  • Received by editor(s) in revised form: February 19, 2017, and March 6, 2017
  • Published electronically: August 1, 2017
  • Communicated by: Michael A. Mandell
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 146 (2018), 449-458
  • MSC (2010): Primary 55S25; Secondary 55N20, 55N34, 55Q51
  • DOI: https://doi.org/10.1090/proc/13727
  • MathSciNet review: 3723154