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2006 A lower bound for coherences on the Brown–Peterson spectrum
Birgit Richter
Algebr. Geom. Topol. 6(1): 287-308 (2006). DOI: 10.2140/agt.2006.6.287

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 (2p2+2p2)–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.

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Birgit Richter. "A lower bound for coherences on the Brown–Peterson spectrum." Algebr. Geom. Topol. 6 (1) 287 - 308, 2006. https://doi.org/10.2140/agt.2006.6.287

Information

Received: 25 May 2005; Revised: 17 November 2005; Accepted: 14 February 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1095.55005
MathSciNet: MR2199461
Digital Object Identifier: 10.2140/agt.2006.6.287

Subjects:
Primary: 55P43
Secondary: 13D03

Rights: Copyright © 2006 Mathematical Sciences Publishers

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