Zhipeng Duan

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.AT2022

$R O (G)$ -graded homotopy fixed point spectral sequence for height $2$ Morava $E$ -theory

Zhipeng Duan, Hana Jia Kong, Guchuan Li +2

We consider $G = Q_{8}, S D_{16}, G_{24},$ and $G_{48}$ as finite subgroups of the Morava stabilizer group which acts on the height $2$ Morava $E$ -theory $E_{2}$ at the prime $2$ .…

math.AT2022

Vanishing lines in chromatic homotopy theory

Zhipeng Duan, Guchuan Li, XiaoLin Danny Shi

We show that at the prime 2, for any height $h$ and any finite subgroup $G \subset G_{h}$ of the Morava stabilizer group, the $R O (G)$ -graded homotopy fixed point spectral se…

Periodicity and finite complexity in higher real K-theories

RO(G)-graded homotopy fixed point spectral sequence for height 2 Morava E-theory

Vanishing lines in chromatic homotopy theory

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

$R O (G)$ -graded homotopy fixed point spectral sequence for height $2$ Morava $E$ -theory