Secondary power operations and the Brown-Peterson spectrum at the prime 2
Algebraic Topology
2018-05-04 v2
Abstract
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 greater than or equal to 12, answering a question of May in the negative.
Keywords
Cite
@article{arxiv.1703.00935,
title = {Secondary power operations and the Brown-Peterson spectrum at the prime 2},
author = {Tyler Lawson},
journal= {arXiv preprint arXiv:1703.00935},
year = {2018}
}
Comments
Revised version with some expanded details. Comments welcome