Homotopy theory of modules over operads in symmetric spectra

Harper, John E

doi:10.2140/agt.2009.9.1637

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Homotopy theory of modules over operads in symmetric spectra

John E Harper

Algebraic & Geometric Topology 9 (2009) 1637–1680

DOI: 10.2140/agt.2009.9.1637

Abstract

We establish model category structures on algebras and modules over operads in symmetric spectra and study when a morphism of operads induces a Quillen equivalence between corresponding categories of algebras (resp. modules) over operads.

Keywords

symmetric spectra, model category, operads

Mathematical Subject Classification 2000

Primary: 55P43, 55P48

Secondary: 55U35

References

Publication

Received: 2 January 2008

Revised: 18 October 2008

Accepted: 8 April 2009

Published: 22 August 2009

Authors

John E Harper
Institut de Géométrie, Algèbre et Topologie EPFL CH-1015 Lausanne Switzerland	Department of Mathematics University of Notre Dame Notre Dame, IN 46556 USA

Volume 9, issue 3 (2009)