2009/11/14 by Adam Hughes, Hughes, Adam, JohnMark Lau +3
Mathematics · #19L41 #55N22 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AT #math.KT #msc:19L41 #msc:55N22
paper · pdf · doi:10.48550/arxiv.0911.2811
16 pages
openalex publication_date 2009/11/14 · arxiv created 2011/05/25 · arxiv updated 2011/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using a previous classification result on symmetric additive 2-cocycles, we collect a variety of facts about the Lubin-Tate cohomology of formal groups to compute the 2-primary component of the scheme of symmetric multiplicative 2-cocycles. This scheme classifies certain kinds of highly symmetric multiextensions, as studied in general by Mumford or Breen. A low-order version of this computation has previously found application in homotopy theory through the sigma-orientation of Ando, Hopkins, and Strickland, and the complete computation is reflective of certain structure found in the homotopy type of connective K-theory. This paper has been completely rewritten from its first posted draft, including a correction of the statement of the main result.