Tate blueshift and vanishing for real oriented cohomology theories

DOI10.1016/J.AIM.2022.108780OpenAlexW4309354548MaRDI QIDQ2105750

Guchuan Li, Vitaly Lorman, J. D. Quigley

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/1910.06191

zbMATH Keywords

Tate constructionreal Johnson-Wilson theoryblueshiftparametrized Tate constructionreal Morava K-theoryreal oriented cohomology theories

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Stable homotopy theory, spectra (55P42) Equivariant homotopy theory in algebraic topology (55P91) Homology with local coefficients, equivariant cohomology (55N25) Relations between equivariant and nonequivariant homotopy theory in algebraic topology (55P92)

Related Items (1)

Odd primary analogs of real orientations

Cites Work

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• The localization of spectra with respect to homology
• Real orientations of Lubin-Tate spectra
• The second real Johnson-Wilson theory and nonimmersions of \(RP^n\)
• Nilpotence and stable homotopy theory. I
• Periodic phenomena in the Adams-Novikov spectral sequence
• Localization and completion theorems for \(MU\)-module spectra
• Completions of Z\(/(p)\)-Tate cohomology of periodic spectra
• The root invariant in homotopy theory
• Hurewicz images of real bordism theory and real Johnson-Wilson theories
• Landweber flat real pairs and \(ER(n)\)-cohomology
• On real-oriented Johnson-Wilson cohomology
• The Tate spectrum \(v_ n\)-periodic complex oriented theories
• \(\mathrm{tmf}\)-based Mahowald invariants
• Models of Lubin-Tate spectra via real bordism theory
• The cohomology of \(C_2\)-equivariant \(\mathcal{A} (1)\) and the homotopy of \(\operatorname{ko}_{C_2} \)
• The \(C_2\)-spectrum \(\mathrm{Tmf}_1(3)\) and its invertible modules
• The real \(K\)-theory of compact Lie groups
• Equivariant \(K\)-theory and completion
• On the nonexistence of elements of Kervaire invariant one
• On the Tate spectrum of tmf at the prime 2
• TheER(n)-cohomology ofBO(q) and real Johnson–Wilson orientations for vector bundles
• The spectrum (P ⋀ bo) _−∞
• On fibrations related to real spectra
• Localization with Respect to Certain Periodic Homology Theories
• The Spectrum (P ∧BP〈2 〉) -∞
• Tate cohomology lowers chromatic Bousfield classes
• Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)
• Generalized Tate cohomology
• Multiplicative structure on Real Johnson-Wilson theory
• Morava 𝐾-theories and finite groups
• Real motivic and C2‐equivariant Mahowald invariants
• K-THEORY AND REALITY
• Conjugations on complex manifolds and equivariant homotopy of 𝑀𝑈
• Nilpotence and stable homotopy theory. II
• Real-oriented homotopy theory and an analogue of the Adams-Novikov spectral sequence

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