Uniqueness of Morava K-theory

dc.contributor.authorAngeltveit, Vigleik
dc.date.accessioned2015-12-07T22:44:41Z
dc.date.issued2011
dc.date.updated2016-02-24T11:33:35Z
dc.description.abstractWe show that there is an essentially unique S-algebra structure on the Morava K-theory spectrum K(n), while K(n) has uncountably many MU or E(n)-algebra structures. Here E(n) is the K(n)-localized Johnson-Wilson spectrum. To prove this we set up a spectral sequence computing the homotopy groups of the moduli space of A∞ structures on a spectrum, and use the theory of S-algebra k-invariants for connectiveS-algebras found in the work of Dugger and Shipley [Postnikov extensions of ring spectra, Algebr. Geom. Topol. 6 (2006), 1785-1829 (electronic)] to show that all the uniqueness obstructions are hit by differentials.
dc.identifier.issn0010-437X
dc.identifier.urihttp://hdl.handle.net/1885/25299
dc.publisherLondon Mathematical Society
dc.sourceCompositio Mathematica
dc.subjectKeywords: moduli space; Morava K-theory; S-algebra
dc.titleUniqueness of Morava K-theory
dc.typeJournal article
local.bibliographicCitation.issue02
local.bibliographicCitation.lastpage648
local.bibliographicCitation.startpage633
local.contributor.affiliationAngeltveit, Vigleik, College of Physical and Mathematical Sciences, ANU
local.contributor.authoremailu4868612@anu.edu.au
local.contributor.authoruidAngeltveit, Vigleik, u4868612
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.identifier.absfor010103 - Category Theory, K Theory, Homological Algebra
local.identifier.ariespublicationu5035478xPUB37
local.identifier.citationvolume147
local.identifier.doi10.1112/S0010437X10005026
local.identifier.scopusID2-s2.0-80053051980
local.identifier.thomsonID000289544300009
local.identifier.uidSubmittedByu5035478
local.type.statusPublished Version

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