Spanier–Whitehead duality in the $K(2)$-local category at $p=2$

DOI10.1090/proc/15078zbMath1452.55010arXiv1809.08226OpenAlexW3011489246MaRDI QIDQ5130887

Irina Bobkova

Publication date: 29 October 2020

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

Full work available at URL: https://arxiv.org/abs/1809.08226

zbMATH Keywords

chromatic filtrationMorava stabilizer group

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Generalized cohomology and spectral sequences in algebraic topology (55T25) Spanier-Whitehead duality (55P25)

Related Items

Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy

Cites Work

• The localization of spectra with respect to homology
• A modular description of the \(K(2)\)-local sphere at the prime 3
• The algebraic duality resolution at \(p= 2\)
• Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups.
• Gross-Hopkins duality
• Operations and co-operations in Morava \(E\)-theory
• Finite subgroups of division algebras over local fields
• A resolution of the \(K(2)\)-local sphere at the prime 3
• Iwasawa theory for $K(1)$-local spectra
• Topological resolutions in K(2)‐local homotopy theory at the prime 2
• The homotopy fixed point spectra of profinite Galois extensions
• The centralizer resolution of the 𝐾(2)-local sphere at the prime 2
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