Cohomology theories for highly structured ring spectra
Algebraic Topology
2007-05-23 v1 K-Theory and Homology
Abstract
This is a survey paper on cohomology theories for and ring spectra. Different constructions and main properties of topological Andr\'e-Quillen cohomology and of topological derivations are described. We give sample calculations of these cohomology theories and outline applications to the existence of and structures on various spectra. We also explain the relationship between topological derivations, spaces of multiplicative maps and moduli spaces of multiplicative structures.
Cite
@article{arxiv.math/0211275,
title = {Cohomology theories for highly structured ring spectra},
author = {Andrey Lazarev},
journal= {arXiv preprint arXiv:math/0211275},
year = {2007}
}