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Abstract
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We establish several new model structures and Quillen adjunctions both in the classical
and in the motivic case for algebras over operads and for modules over strictly
commutative ring spectra. As an application, we provide a proof in the language of
model categories and symmetric spectra of Lurie’s Theorem that topological complex
–theory
represents orientations of the derived multiplicative group. Then we generalize this
result to the motivic situation.
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Keywords
motivic homotopy theory, motivic operads
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Mathematical Subject Classification 2010
Primary: 55P42
Secondary: 18D50, 19D99, 14F42
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Publication
Received: 22 March 2012
Revised: 2 April 2013
Accepted: 4 April 2013
Published: 9 July 2013
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