NDLI: Uniqueness of MoravaK-theory

Content Provider	Scilit
Author	Angeltveit, Vigleik
Copyright Year	2010
Description	Journal: Compositio Mathematica We show that there is an essentially uniqueS-algebra structure on the MoravaK-theory spectrumK(n), whileK(n) has uncountably manyMUor $\widehat {E(n)}$ -algebra structures. Here $\widehat {E(n)}$ is theK(n)-localized Johnson–Wilson spectrum. To prove this we set up a spectral sequence computing the homotopy groups of the moduli space $ofA_{∞}$structures on a spectrum, and use the theory ofS-algebrak-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.
Ending Page	648
Starting Page	633
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x10005026
Journal	Compositio Mathematica
Issue Number	2
Volume Number	147
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2011-03-01
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Mathematical Physics Particles and Fields Physics
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Uniqueness of MoravaK-theory