Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups

173 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

A resolution of the K(2)-local sphere at the prime 3 (2005, methodology): “[12] M. J. Hopkins, M. Mahowald, and H. Sadofsky, Constructions of elements in Picard groups, in Topology and Representation Theory (Evanston, IL, 1992), 89–126, A. M. S., Providence, RI, 1994.”
A modular description of the K(2)-local sphere at the prime 3 (2005, methodology): “The first is based on a sheaf of E∞ ring spectra produced by Hopkins and his collaborators.”
The Galois group of a stable homotopy theory (2014, background): “We describe the Galois theory of LK(n) Sp here, following ideas of [21,14,71], and many other authors.”
On Hopkins’ Picard groups for the prime 3 and chromatic level 2 (2012, methodology): “By [3], there is an isomorphism of twisted Gn-modules (E2)∗E 2 ∼= map(G2/K, (E2)∗), (4.”
Topological resolutions in K(2) ‐local homotopy theory at the prime 2 (2016, background): “However, in analyzing the proof of the crucial Theorem 2 of [11] we see that the isomorphism of (1.”
Commutativity conditions for truncated Brown–Peterson spectra of height 2 (2011, methodology): “We need to determine the E2-term, which, by Devinatz and Hopkins [14, Remark A.9], is the cohomology of the complex associated to the cosimplicial abelian group π∗LK(n)(E(•+1) ∧X).”