Gross–Hopkins duals of higher real K–theory spectra

DOI10.1090/tran/7730zbMath1426.55001arXiv1705.07036OpenAlexW3099748145MaRDI QIDQ5227988

Tobias Barthel, Vesna Stojanoska, Agnès Beaudry

Publication date: 7 August 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07036

zbMATH Keywords

stable homotopy theorychromatic homotopy theory

Mathematics Subject Classification ID

Cohomology of groups (20J06) Localization and completion in homotopy theory (55P60) Stable homotopy theory, spectra (55P42) Equivariant homotopy groups (55Q91) Duality in algebraic topology (55M05) (v_n)-periodicity (55Q51)

Related Items (2)

Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy ⋮ Picard groups and duality for real Morava \(E\)-theories

Cites Work

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• Localization with Respect to Certain Periodic Homology Theories
• Morava 𝐾-theories and localisation
• The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory
• Generalized Tate cohomology
• Topological resolutions in K(2)‐local homotopy theory at the prime 2
• Brown-Comenetz duality and the Adams spectral sequence
• Picard groups of higher real -theory spectra at height
• The Goodwillie tower and the EHP sequence
• K-theory, reality, and duality

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