On the cooperation algebra of the connective Adams summand

Baker, A. and Richter, B. (2008) On the cooperation algebra of the connective Adams summand. Tbilisi Mathematical Journal, 1, pp. 33-70.

Abstract

The aim of this paper is to gain explicit information about the multiplicative structure of ℓ* ℓ, where ℓ 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 ℓ* ℓ is inherited from the multiplication on a Koszul resolution of ℓ* BP.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Baker, Dr Andrew
• Authors: Baker, A., and Richter, B.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Tbilisi Mathematical Journal
• ISSN: 1875-158X
• ISSN (Online): 1512-0139