Homotopy theory of modules over operads in symmetric spectra

Harper, John E¹

¹Institut de Géométrie, Algèbre et Topologie, EPFL, CH-1015 Lausanne, Switzerland, Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA

Algebraic and Geometric Topology, Tome 9 (2009) no. 3, pp. 1637-1680

Résumé

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.

Détail

DOI : 10.2140/agt.2009.9.1637

Keywords: symmetric spectra, model category, operads

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