Title: 
On the spectrum bo \wedge tmf

Author(s): 
Scott M. Bailey

Author's e-mail address: 
bailey@math.rochester.edu

AMS classification number: 
55P10 (Primary) 55P42, 55Q51 (Secondary)

Other useful information: 
arXiv:0903.0156

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