12 citations · 39 across the 14 of their papers we have counts for
16 papers
Bredon homological stability for configuration spaces of -manifolds
Eva Belmont, J. D. Quigley, Chase Vogeli
McDuff and Segal proved that unordered configuration spaces of open manifolds satisfy homological stability: there is a stabilization map which is an isom…
A motivic analogue of the K(1)-local sphere spectrum
William Balderrama, Kyle Ormsby, J. D. Quigley
We identify the motivic -local sphere as the fiber of on -completed Hermitian -theory, over any base scheme containing . This is a motivic analogue of…
Some smooth circle and cyclic group actions on exotic spheres
J. D. Quigley
Classical work of Lee, Schultz, and Stolz relates the smooth transformation groups of exotic spheres to the stable homotopy groups of spheres. In this note, we apply recent progres…
Ranks of -graded stable homotopy groups of spheres for finite groups
J. P. C. Greenlees, J. D. Quigley
We describe the distribution of infinite groups in the -graded stable homotopy groups of spheres for a finite group .
On the equivalence of two theories of real cyclotomic spectra
J. D. Quigley, Jay Shah
We give a new formula for real topological cyclic homology that refines the fiber sequence formula discovered by Nikolaus and Scholze for topological cyclic homology to one involvi…
The motivic lambda algebra and motivic Hopf invariant one problem
William Balderrama, Dominic Leon Culver, J. D. Quigley
We investigate forms of the Hopf invariant one problem in motivic homotopy theory over arbitrary base fields of characteristic not equal to . Maps of Hopf invariant one classica…
On the parametrized Tate construction
J. D. Quigley, Jay Shah
We introduce and study a genuine equivariant refinement of the Tate construction associated to an extension of a finite group by a compact Lie group , which we…
The 2-primary Hurewicz image of tmf
Mark Behrens, Mark Mahowald, J. D. Quigley
We determine the image of the 2-primary tmf-Hurewicz homomorphism, where tmf is the spectrum of topological modular forms. We do this by lifting elements of tmf_* to the homotopy g…
Algebraic slice spectral sequences
Dominic Leon Culver, Hana Jia Kong, J. D. Quigley
For certain motivic spectra, we construct a square of spectral sequences relating the effective slice spectral sequence and the motivic Adams spectral sequence. We show the square…
-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…
The Segal Conjecture for topological Hochschild homology of the Ravenel spectra
Gabe Angelini-Knoll, J. D. Quigley
In the 1980's, Ravenel introduced sequences of spectra and which played an important role in the proof of the Nilpotence Theorem of Devinatz--Hopkins--Smith. In the p…