Morava $E$-homology of Bousfield-Kuhn functors on odd-dimensional spheres
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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.References
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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