2015/07/09 by Donald M. Larson, Larson, Donald M.
Computer Science · Mathematics · #55 #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Coding theory and cryptography #FOS: Mathematics #Mathematical Analysis and Transform Methods #math.AT #msc:55
paper · pdf · doi:10.48550/arxiv.1507.02650
arxiv created 2015/07/09 · openalex publication_date 2015/07/09 · arxiv updated 2015/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We compute the E2-term of the Bousfield-Kan spectral sequence converging to the homotopy groups of the semi-cosimplicial E∞ ring spectrum Q(2)(3). This 3-local spectrum was constructed by M. Behrens using degree 2 isogenies of elliptic curves, and its localization with respect to the 2nd Morava K-theory K(2) is "one half" of the K(2)-local sphere at the prime 3. The computation in this paper uses techniques developed in the author's previous work on the Adams-Novikov spectral sequence for Q(2)(3), and provides another gateway to the homotopy ring π_*Q(2)(3).