Calculating obstruction groups for e ring spectra

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We describe a special instance of the Goerss–Hopkins obstruction theory, due to Senger, for calculating the moduli of E ring spectra with given mod-p homology. In particular, for the 2-primary Brown–Peterson spectrum we give a chain complex that calculates the first obstruction groups, locate the first potential genuine obstructions, and discuss how some of the obstruction classes can be interpreted in terms of secondary operations.

Original languageEnglish (US)
Title of host publicationHomotopy Theory
Subtitle of host publicationTools and Applications
EditorsDaniel G. Davis, Mark W. Johnson, Charles Rezk, Hans-Werner Henn, J. F. Jardine
PublisherAmerican Mathematical Society
Pages179-203
Number of pages25
ISBN (Print)9781470442446
DOIs
StatePublished - 2019
Externally publishedYes
EventConference on Homotopy Theory: Tools and Applications, 2017 - Urbana, United States
Duration: Jul 17 2017Jul 21 2017

Publication series

NameContemporary Mathematics
Volume729
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

ConferenceConference on Homotopy Theory: Tools and Applications, 2017
Country/TerritoryUnited States
CityUrbana
Period7/17/177/21/17

Bibliographical note

Publisher Copyright:
© 2019 American Mathematical Society.

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