A lower bound for coherences on the Brown-Peterson spectrum
Algebraic Topology
2009-03-02 v2
Abstract
We provide a lower bound for the coherence of the homotopy commutativity of the Brown-Peterson spectrum, BP, at a given prime p and prove that it is at least (2p^2 + 2p - 2)-homotopy commutative. We give a proof based on Dyer-Lashof operations that BP cannot be a Thom spectrum associated to n-fold loop maps to BSF for n=4 at 2 and n=2p+4 at odd primes. Other examples where we obtain estimates for coherence are the Johnson-Wilson spectra, localized away from the maximal ideal and unlocalized. We close with a negative result on Morava-K-theory.
Keywords
Cite
@article{arxiv.math/0504322,
title = {A lower bound for coherences on the Brown-Peterson spectrum},
author = {Birgit Richter},
journal= {arXiv preprint arXiv:math/0504322},
year = {2009}
}
Comments
This is the version published by Algebraic & Geometric Topology on 26 February 2006