Cohomology theories for highly structured ring spectra

A Lazarev

Research output: Chapter in Book/Report/Conference proceedingChapter in a book


This is a survey paper on cohomology theories for $A_\infty$ and $E_\infty$ 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 $A_\infty$ and $E_\infty$ structures on various spectra. We also explain the relationship between topological derivations, spaces of multiplicative maps and moduli spaces of multiplicative structures.
Translated title of the contributionCohomology theories for highly structured ring spectra
Original languageEnglish
Title of host publicationStructured Ring Spectra
EditorsAndrew Baker, Birgit Richter
PublisherCambridge University Press
Pages201 - 231
ISBN (Print)0521603056
Publication statusPublished - 2004

Bibliographical note

Other: LMS Lecture Notes series

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