REVIEW 1 cited by
The Brown-Peterson spectrum is not $\mathbb{E}_{2(p^2+2)}$ at odd primes
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
abstract
We show that the odd-primary Brown-Peterson spectrum $\mathrm{BP}$ does not admit the structure of an $\mathbb{E}_{2(p^2+2)}$ ring spectrum and that there can be no map $\mathrm{MU} \to \mathrm{BP}$ of $\mathbb{E}_{2p+3}$ ring spectra. We also prove the same results for truncated Brown-Peterson spectra $\mathrm{BP} \langle n \rangle$ of height $n \geq 4$. This extends results of Lawson at the prime $2$.
Forward citations
Cited by 1 Pith paper
-
A homological approach to chromatic complexity of algebraic K-theory
For the Thom spectra y(n) between S and HF2, the paper proves that K(m)_*(TP(y(n))) vanishes for 1≤m≤n, so TP raises chromatic height by one.
Discussion (0). Continue with ORCID to comment.