Inverting the Hopf map
Name
1710.08018.pdf
Size
479.56 KB
Format
Adobe PDF
Checksum (MD5)
532fe3b904319933a2c7c59781c465a7
Author(s)
Andrews, Michael Joseph
Miller, Haynes R
Date Issued
November 2017
Journal
Journal of Topology
Publisher
Oxford University Press (OUP)
Citation
Andrews, Michael and Haynes Miller. “Inverting the Hopf Map.” Journal of Topology 10, 4 (November 2017): 1145–1168 © 2017 London Mathematical Society
Version
Author's final manuscript
Abstract
We calculate the η-localization of the motivic stable homotopy ring over C, confirming a conjecture of Guillou and Isaksen. Our approach is via the motivic Adams-Novikov spectral sequence. In fact, work of Hu, Kriz and Ormsby implies that it suffices to compute the corresponding localization of the classical Adams-Novikov E₂-term, and this is what we do. Guillou and Isaksen also propose a pattern of differentials in the localized motivic classical Adams spectral sequence, which we verify using a method first explored by Novikov.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1112/topo.12034
