Calculating obstruction groups for 𝐸_{∞} ring spectra

DOI10.1090/conm/729/14695zbMath1429.55011arXiv1709.09629OpenAlexW2948765078MaRDI QIDQ5239157

Tyler Lawson

Publication date: 22 October 2019

Published in: Homotopy Theory: Tools and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09629

zbMATH Keywords

Brown-Peterson spectrum$E_{\infty}$ ring spectrumGoerss-Hopkins obstruction theory

Mathematics Subject Classification ID

Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Secondary and higher cohomology operations in algebraic topology (55S20)

Cites Work

• \(H_{\infty}\) ring spectra and their applications
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• Secondary power operations and the Brown-Peterson spectrum at the prime \(2\)
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• André-Quillen cohomology of commutative \(S\)-algebras
• Power operations and coactions in highly commutative homology theories
• A lower bound for coherences on the Brown-Peterson spectrum
• Commutativity conditions for truncated Brown-Peterson spectra of height 2
• Koszul Resolutions
• Cores of spaces, spectra, and \(E_\infty\) ring spectra
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