A lower bound for coherences on the Brown-Peterson spectrum
| dc.creator | Richter, Birgit | |
| dc.date | 2005-04-15 | |
| dc.date | 2009-02-27 | |
| dc.date.accessioned | 2026-07-07T12:47:44Z | |
| dc.date.available | 2026-07-07T12:47:44Z | |
| dc.description | 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. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 26 February 2006 | |
| dc.identifier | https://arxiv.org/abs/math/0504322 | |
| dc.identifier | http://arxiv.org/abs/math/0504322 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 287-308 | |
| dc.identifier | doi:10.2140/agt.2006.6.287 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221819 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P43, 13D03 | |
| dc.title | A lower bound for coherences on the Brown-Peterson spectrum | |
| dc.type | text |