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research article

Bar constructions and Quillen homology of modules over operads

Harper, John E.
2010
Algebraic And Geometric Topology

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.

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Type
research article
DOI
10.2140/agt.2010.10.87
Web of Science ID

WOS:000276243500004

Author(s)
Harper, John E.
Date Issued

2010

Published in
Algebraic And Geometric Topology
Volume

10

Start page

87

End page

136

Subjects

Model Categories

•

Homotopy-Theory

•

Symmetric Spectra

•

Algebras

•

Cohomology

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
UPHESS  
Available on Infoscience
December 16, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/75645
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