12 citations · 39 across the 14 of their papers we have counts for
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-based Mahowald invariants
J. D. Quigley
The -primary homotopy -family, defined as the collection of Mahowald invariants of Mahowald invariants of , , is an infinite collection of periodic elements in…
Tate blueshift and vanishing for Real oriented cohomology
Guchuan Li, Vitaly Lorman, J. D. Quigley
We study transchromatic phenomena for the Tate construction of Real oriented cohomology theories. First, we show that after suitable completion, the Tate construction with respect…
On the parametrized Tate construction and two theories of real -cyclotomic spectra
J. D. Quigley, Jay Shah
We give a new formula for -typical real topological cyclic homology that refines the fiber sequence formula discovered by Nikolaus and Scholze for -typical topological cyclic…
A homological approach to chromatic complexity of algebraic K-theory
Gabriel Angelini-Knoll, J. D. Quigley
The family of Thom spectra interpolates between the sphere spectrum and the mod two Eilenberg--MacLane spectrum. Computations of Mahowald, Ravenel, Shick, and the authors sh…
-Resolutions I
Dominic Leon Culver, J. D. Quigley
Let denote the very effective cover of Hermitian K-theory. We apply the -based motivic Adams spectral sequence, or -resolution, to computational motivic stable homotop…
Motivic Mahowald invariants over general base fields
J. D. Quigley
The motivic Mahowald invariant was introduced in \cite{Qui19a} and \cite{Qui19b} to study periodicity in the - and -motivic stable stems. In this paper, we…