The η-local motivic sphere

• Bertrand J. Guillou ^[1] ; Daniel C. Isaksen ^[2]
  1. [1] University of Kentucky

     University of Kentucky

     Estados Unidos

     
  2. [2] Wayne State University

     Wayne State University

     City of Detroit, Estados Unidos

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 10 (October 2015), 2015, págs. 4728-4756
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2015.03.004
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• Resumen

  • 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.