English

Homology of infinite loop spaces

Algebraic Topology 2014-12-08 v1 K-Theory and Homology

Abstract

For a spectrum XX represented by a special Γ\Gamma-space YY via the Segal machine, we give an elementary formula computing the homology groups of XX in terms of YY. Both the result and the method of proof are essentially due to T. Pirashvili, but the end result does not appear explicitly in his papers.

Keywords

Cite

@article{arxiv.1412.1981,
  title  = {Homology of infinite loop spaces},
  author = {D. Kaledin},
  journal= {arXiv preprint arXiv:1412.1981},
  year   = {2014}
}

Comments

LaTeX, 13 pages. The paper has been already published in 2012; I upload it to arxiv for ease of references