Localization of André-Quillen-Goodwillie towers, and the periodic homology of infinite loopspaces

DOI10.1016/j.aim.2005.02.005zbMath1103.55007arXivmath/0306098OpenAlexW2014273639MaRDI QIDQ2369018

Nicholas J. Kuhn

Publication date: 28 April 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306098

zbMATH Keywords

infinite loop spaceGoodwillie towerBousfield localizationperiodic homologytopological André-Quillen homology

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Infinite loop spaces (55P47)

Related Items

Derived Koszul duality and \(\mathsf{TQ}\)-homology completion of structured ring spectra, The Bousfield-Kuhn functor and topological André-Quillen cohomology, Lifting homotopy \(T\)-algebra maps to strict maps, Algebraic theories of power operations, Homotopy pro-nilpotent structured ring spectra and topological Quillen localization, Homotopy completion and topological Quillen homology of structured ring spectra, Spectral Algebra Models of Unstable $$v_n$$-Periodic Homotopy Theory, Brown–Peterson cohomology from Morava -theory, Poincaré/Koszul duality, Lie algebras and \(v_n\)-periodic spaces, Commutative \(\mathbb S\)-algebras of prime characteristics and applications to unoriented bordism, On the relationship between logarithmic TAQ and logarithmic THH, Stable and unstable operations in mod \(p\) cohomology theories, Adams filtration and generalized Hurewicz maps for infinite loopspaces, Tate cohomology and periodic localization of polynomial functors, The Whitehead conjecture, the tower ofS¹conjecture, and Hecke algebras of type A, Mapping spaces and homology isomorphisms, A nilpotent Whitehead theorem for \(\mathsf{TQ} \)-homology of structured ring spectra, Topological Quillen localization of structured ring spectra, The units of a ring spectrum and a logarithmic cohomology operation, Topological André-Quillen homology for cellular commutative \(S\)-algebras

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