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research article
Bar constructions and Quillen homology of modules over operads
Harper, John E.
We show that topological Quillen homology of algebras and modules over operads in symmetric spectra can be calculated by realizations of simplicial bar constructions. Working with several model category structures, we give a homotopical proof after showing that certain homotopy colimits in algebras and modules over operads can be easily understood. A key result here, which lies at the heart of this paper, is showing that the forgetful functor commutes with certain homotopy colimits. We also prove analogous results for algebras and modules over operads in unbounded chain complexes.
Type
research article
Web of Science ID
WOS:000276243500004
Authors
Harper, John E.
Publication date
2010
Published in
Volume
10
Start page
87
End page
136
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 16, 2011
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