Tate cohomology and periodic localization of polynomial functors

DOI10.1007/s00222-003-0354-zzbMath1069.55007arXivmath/0307173OpenAlexW2086105894MaRDI QIDQ705116

Nicholas J. Kuhn

Publication date: 25 January 2005

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0307173

zbMATH Keywords

Tate cohomologyGoodwillie calculusperiodic localization

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Equivariant homotopy theory in algebraic topology (55P91) Homotopy functors in algebraic topology (55P65)

Related Items (17)

Localization of André-Quillen-Goodwillie towers, and the periodic homology of infinite loopspaces ⋮ Ambidexterity in chromatic homotopy theory ⋮ Derived induction and restriction theory ⋮ The Bousfield-Kuhn functor and topological André-Quillen cohomology ⋮ Detecting and describing ramification for structured ring spectra ⋮ A short proof of telescopic Tate vanishing ⋮ Higher semiadditive Grothendieck-Witt theory and the 𝐾(1)-local sphere ⋮ The telescope conjecture at height 2 and the tmf resolution ⋮ The mod 2 homology of infinite loopspaces ⋮ Spectral Algebra Models of Unstable $$v_n$$-Periodic Homotopy Theory ⋮ Lie algebras and \(v_n\)-periodic spaces ⋮ A classification of Taylor towers of functors of spaces and spectra ⋮ The Balmer spectrum of the equivariant homotopy category of a finite abelian group ⋮ Goodwillie Approximations to Higher Categories ⋮ The spectrum of the equivariant stable homotopy category of a finite group ⋮ Ambidexterity and height ⋮ Hyperdescent and étale \(K\)-theory

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