Uniqueness of Morava K-theory
dc.contributor.author | Angeltveit, Vigleik | |
dc.date.accessioned | 2015-12-07T22:44:41Z | |
dc.date.issued | 2011 | |
dc.date.updated | 2016-02-24T11:33:35Z | |
dc.description.abstract | We 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.issn | 0010-437X | |
dc.identifier.uri | http://hdl.handle.net/1885/25299 | |
dc.publisher | London Mathematical Society | |
dc.source | Compositio Mathematica | |
dc.subject | Keywords: moduli space; Morava K-theory; S-algebra | |
dc.title | Uniqueness of Morava K-theory | |
dc.type | Journal article | |
local.bibliographicCitation.issue | 02 | |
local.bibliographicCitation.lastpage | 648 | |
local.bibliographicCitation.startpage | 633 | |
local.contributor.affiliation | Angeltveit, Vigleik, College of Physical and Mathematical Sciences, ANU | |
local.contributor.authoremail | u4868612@anu.edu.au | |
local.contributor.authoruid | Angeltveit, Vigleik, u4868612 | |
local.description.embargo | 2037-12-31 | |
local.description.notes | Imported from ARIES | |
local.identifier.absfor | 010103 - Category Theory, K Theory, Homological Algebra | |
local.identifier.ariespublication | u5035478xPUB37 | |
local.identifier.citationvolume | 147 | |
local.identifier.doi | 10.1112/S0010437X10005026 | |
local.identifier.scopusID | 2-s2.0-80053051980 | |
local.identifier.thomsonID | 000289544300009 | |
local.identifier.uidSubmittedBy | u5035478 | |
local.type.status | Published Version |
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