On the spectrum b\rm o \wedge tmf

2009/03/01 by S. M. Bailey, Scott M. Bailey, Bailey, Scott M.
Mathematics · #55P10 (Primary) 55P42 #55Q51 (Secondary) #Advanced Algebra and Geometry #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55P10 #msc:55P42 #msc:55Q51

paper · pdf · doi:10.48550/arxiv.0903.0156

15 pages, 4 figures

arxiv created 2009/03/01 · openalex publication_date 2009/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

M. Mahowald, in his work on b\rm o-resolutions, constructed a b\rm o-module splitting of the spectrum b\rm o \wedge b\rm o into a wedge of summands related to integral Brown-Gitler spectra. In this paper, a similar splitting of b\rm o \sm tmf is constructed. This splitting is then used to understand the b\rm o_*-algebra structure of b\rm o_* tmf and allows for a description of b\rm o^* tmf.

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