The η-local motivic sphere

نویسندگان

  • Bertrand J. Guillou
  • Daniel C. Isaksen
چکیده

Article history: Received 20 November 2014 Received in revised form 17 February 2015 Communicated by C.A. Weibel MSC: 14F42; 55T15; 55S10 We compute the h1-localized cohomology of the motivic Steenrod algebra over C. This serves as the input to an Adams spectral sequence that computes the motivic stable homotopy groups of the η-local motivic sphere. We compute some of the Adams differentials, and we state a conjecture about the remaining differentials. © 2015 Elsevier B.V. All rights reserved.

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تاریخ انتشار 2015