Open Access
Translator Disclaimer
2008 On the cooperation algebra of the connective Adams summand
Andrew Baker, Birgit Richter
Author Affiliations +
Tbilisi Math. J. 1: 33-70 (2008). DOI: 10.32513/tbilisi/1528768823


The aim of this paper is to gain explicit information about the multiplicative structure of $\ell_*\ell$, where $\ell$ is the connective Adams summand at an odd prime $p$. Our approach differs from Kane's or Lellmann's because our main technical tool is the $MU$-based Künneth spectral sequence. We prove that the algebra structure on $\ell_*\ell$ is inherited from the multiplication on a Koszul resolution of $\ell_*BP$.


We would like to thank Iain Gordon, John Rognes, Steffen Sagave and Sarah White-house for their comments. We also thank the referee for his/her many detailed and helpful remarks. The first author was supported by the Max-Planck Institute for Mathematics, Bonn, and the Yngre Femregande Forskere (YFF) of the Norwegian Research Council; the second author was supported by the Strategisk Universitetsprogram i Ren Matematikk (SUPREMA) of the Norwegian Research Council. We also thank the Universities of Bern, Bonn, and Oslo for their hospitality.


Download Citation

Andrew Baker. Birgit Richter. "On the cooperation algebra of the connective Adams summand." Tbilisi Math. J. 1 33 - 70, 2008.


Received: 20 March 2007; Revised: 18 March 2008; Accepted: 1 May 2008; Published: 2008
First available in Project Euclid: 12 June 2018

zbMATH: 1206.55013
MathSciNet: MR2434436
Digital Object Identifier: 10.32513/tbilisi/1528768823

Primary: 55N15, 55P43
Secondary: 18G15, 55N20

Rights: Copyright © 2008 Tbilisi Centre for Mathematical Sciences


Vol.1 • 2008
Back to Top