Cohomology Theories for Highly Structured Ring Spectra
نویسنده
چکیده
This is a survey paper on cohomology theories for A∞ and E∞ ring spectra. Different constructions and main properties of topological André-Quillen cohomology and of topological derivations are described. We give sample calculations of these cohomology theories and outline applications to the existence of A∞ and E∞ structures on various spectra. We also explain the relationship between topological derivations, spaces of multiplicative maps and moduli spaces of multiplicative structures.
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