Inverting the Hopf map
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...
| Príomhchruthaitheoirí: | , |
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| Formáid: | Alt |
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Oxford University Press (OUP)
2018
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| Rochtain ar líne: | http://hdl.handle.net/1721.1/116020 https://orcid.org/0000-0001-8702-1127 |
| Achoimre: | 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. |
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