Topological Andr\'e-Quillen homology for cellular commutative $S$-algebras

Andrew Baker; Helen Gilmour; Philipp Reinhard

doi:10.1007/s12188-008-0005-9

Topological Andr\'e-Quillen homology for cellular commutative $S$-algebras

Algebraic Topology 2008-08-08 v5 K-Theory and Homology

Authors: Andrew Baker , Helen Gilmour , Philipp Reinhard

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Abstract

Topological Andr\'e-Quillen homology for commutative $S$ -algebras was introduced by Basterra following work of Kriz, and has been intensively studied by several authors. In this paper we discuss it as a homology theory on CW $S$ -algebras and apply it to obtain results on minimal atomic $p$ -local $S$ -algebras which generalise those of Baker and May for $p$ -local spectra and simply connected spaces. We exhibit some new examples of minimal atomic $S$ -algebras.

Keywords

topological Andr\'e-Quillen homology commutative S-algebras CW S-algebras minimal atomic S-algebras p-local spectra homology theory

Cite

@article{arxiv.0708.2041,
  title  = {Topological Andr\'e-Quillen homology for cellular commutative $S$-algebras},
  author = {Andrew Baker and Helen Gilmour and Philipp Reinhard},
  journal= {arXiv preprint arXiv:0708.2041},
  year   = {2008}
}

Comments

Final revision, a version will appear in Abhandlungen aus dem Mathematischen Seminar der Universitaet Hamburg

Topological Andr\'e-Quillen homology for cellular commutative $S$-algebras

Abstract

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