Secondary power operations and the Brown-Peterson spectrum at the prime 2

• 成果类型: Article
• 署名作者: Lawson, Tyler
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2018.188.2.3
• 发表日期: 2018
• 页码: 513-576
• 关键词: dyer-lashof operations; formal group laws; hopf ring; HOMOLOGY; COHOMOLOGY; CATEGORIES; bp

摘要

The dual Steenrod algebra has a canonical subalgebra isomorphic to the homology of the Brown-Peterson spectrum. We will construct a secondary operation in mod-2 homology and show that this canonical subalgebra is not closed under it. This allows us to conclude that the 2-primary Brown- Peterson spectrum does not admit the structure of an E-n-algebra for any n >= 12, answering a question of May in the negative.