Guchuan Li

collaborators

3 papers

math.AT2025

Periodicity and finite complexity in higher real $K$ -theories

Zhipeng Duan, Michael A. Hill, Guchuan Li +4

In this paper, we establish periodicity results for higher real $K$ -theories at all heights and for all finite subgroups of the Morava stabilizer group at the prime 2. We further a…

math.AT2025

A sparse periodic family in the cohomology of the $C$ -motivic Steenrod algebra

Daniel C. Isaksen, Hana Jia Kong, Guchuan Li +2

We study a particular family of elements in the cohomology of the $C$ -motivic Steenrod algebra, also known as the $C$ -motivic Adams $E_{2}$ -page. This family exhibi…

math.AT2025

Exotic periodic phenomena in the cohomology of the moduli stack of $1$ -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 $E_{2}$ -page of the classical Adams--Novikov spectral…

Periodicity and finite complexity in higher real K-theories

A sparse periodic family in the cohomology of the C-motivic Steenrod algebra

Exotic periodic phenomena in the cohomology of the moduli stack of 1-dimensional formal group laws

Periodicity and finite complexity in higher real $K$ -theories

A sparse periodic family in the cohomology of the $C$ -motivic Steenrod algebra

Exotic periodic phenomena in the cohomology of the moduli stack of $1$ -dimensional formal group laws