Homotopy theory of \(A_{\infty}\) ring spectra and applications to \(MU\)-modules
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Publication:1598950
DOI10.1023/A:1013394125552zbMath1008.55007OpenAlexW2007775477MaRDI QIDQ1598950
Publication date: 1 April 2003
Published in: \(K\)-Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1013394125552
Stable homotopy theory, spectra (55P42) Obstruction theory in algebraic topology (55S35) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Generalized cohomology and spectral sequences in algebraic topology (55T25)
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Postnikov towers, \(k\)-invariants and obstruction theory for dg categories ⋮ Third Mac Lane cohomology via categorical rings ⋮ Postnikov extensions of ring spectra ⋮ Secondary power operations and the Brown-Peterson spectrum at the prime \(2\) ⋮ Topological equivalences for differential graded algebras ⋮ Stratifying derived categories of cochains on certain spaces ⋮ On the moduli space of 𝐴_{∞}-structures ⋮ Brauer groups and étale cohomology in derived algebraic geometry ⋮ \(K\)-theory and the bridge from motives to noncommutative motives ⋮ Infinitesimal thickenings of Morava \(K\)-theories ⋮ Strictly commutative complex orientation theory ⋮ The tangent complex and Hochschild cohomology of -rings ⋮ On the Adams spectral sequence for \(R\)-modules ⋮ Moduli of objects in dg-categories ⋮ Homology and cohomology of \(E_\infty\) ring spectra ⋮ Universal Toda brackets of ring spectra ⋮ Calculating obstruction groups for 𝐸_{∞} ring spectra ⋮ Redshift and multiplication for truncated Brown-Peterson spectra
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