Abstract: Journal of TopologyVolume 10, Issue 4 p. 1145-1168 Research Article Inverting the Hopf map Michael Andrews, Michael Andrews [email protected] Department of Mathematics, University of California, Los Angeles, CA, 90095 USASearch for more papers by this authorHaynes Miller, Haynes Miller [email protected] Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139 USASearch for more papers by this author Michael Andrews, Michael Andrews [email protected] Department of Mathematics, University of California, Los Angeles, CA, 90095 USASearch for more papers by this authorHaynes Miller, Haynes Miller [email protected] Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA, 02139 USASearch for more papers by this author First published: 21 November 2017 https://doi.org/10.1112/topo.12034Citations: 6 Dedicated to the memory of Goro Nishida (1943–2014) Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat 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 E 2 -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. Citing Literature Volume10, Issue4December 2017Pages 1145-1168 RelatedInformation