5 citations · 10 across the 11 of their papers we have counts for
11 papers
Periodicity and finite complexity in higher real -theories
Zhipeng Duan, Michael A. Hill, Guchuan Li +4
In this paper, we establish periodicity results for higher real -theories at all heights and for all finite subgroups of the Morava stabilizer group at the prime 2. We further a…
Picard groups of quotient ring spectra
Ishan Levy, Guchuan Li, Ningchuan Zhang
We develop tools to study Picard groups of quotients of ring spectra by a finitely generated ideal, which we use to show that , where $…
A sparse periodic family in the cohomology of the -motivic Steenrod algebra
Daniel C. Isaksen, Hana Jia Kong, Guchuan Li +2
We study a particular family of elements in the cohomology of the -motivic Steenrod algebra, also known as the -motivic Adams -page. This family exhibi…
Exotic periodic phenomena in the cohomology of the moduli stack of -dimensional formal group laws
Daniel C. Isaksen, Hana Jia Kong, Guchuan Li +2
We describe some periodic structure in the cohomology of the moduli stack of 1-dimensional formal group laws, also known as the -page of the classical Adams--Novikov spectral…
The inverse limit topology and profinite descent on Picard groups in -local homotopy theory
Guchuan Li, Ningchuan Zhang
In this paper, we study profinite descent theory for Picard groups in -local homotopy theory through their inverse limit topology. Building upon Burklund's result on the mult…
The -motivic Adams-Novikov spectral sequence for topological modular forms
Daniel C. Isaksen, Hana Jia Kong, Guchuan Li +2
We analyze the -motivic (and classical) Adams-Novikov spectral sequence for the -motivic modular forms spectrum (and for the classical topolo…
-graded homotopy fixed point spectral sequence for height Morava -theory
Zhipeng Duan, Hana Jia Kong, Guchuan Li +2
We consider and as finite subgroups of the Morava stabilizer group which acts on the height Morava -theory at the prime .…
Vanishing lines in chromatic homotopy theory
Zhipeng Duan, Guchuan Li, XiaoLin Danny Shi
We show that at the prime 2, for any height and any finite subgroup of the Morava stabilizer group, the -graded homotopy fixed point spectral se…
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…
Picard groups and duality for Real Morava -theories
Drew Heard, Guchuan Li, XiaoLin Danny Shi
We show, at the prime 2, that the Picard group of invertible modules over is cyclic. Here, is the height Lubin--Tate spectrum and its -action is induced…
Hurewicz Images of Real Bordism Theory and Real Johnson-Wilson Theories
Guchuan Li, XiaoLin Danny Shi, Guozhen Wang +1
We show that the Hopf elements, the Kervaire classes, and the -family in the stable homotopy groups of spheres are detected by the Hurewicz map from the sphere spectrum to t…