Guchuan Li

activity

20212025

collaborators

3 papers

math.AT2025

A spectrum-level splitting of the $k u_{R}$ -cooperations algebra

Guchuan Li, Sarah Petersen, Elizabeth Tatum

In the 1980's, Mahowald and Kane used integral Brown--Gitler spectra to decompose $k u \land k u$ as a sum of finitely generated $k u$ -module spectra. This splitting, along with an a…

math.AT2023

A Thom Spectrum Model for $C_{2}$ -Integral Brown--Gitler Spectra

Guchuan Li, Sarah Petersen, Elizabeth Ellen Tatum

A Thom spectrum model for a $C_{2}$ -equivariant analogue of integral Brown--Gitler spectra is established and shown to have a multiplicative property. The $C_{2}$ -equivariant spectra c…

math.AT2021

Invertible spectra of finite type

Guchuan Li

We describe the necessary and sufficient numerical condition when an element $X$ in the Picard group of $K (2)$ -local category at prime $p ⩾ 5$ is of finite type, i.e., $π_k…

A spectrum-level splitting of the kuR​-cooperations algebra

A Thom Spectrum Model for C2​-Integral Brown--Gitler Spectra

Invertible spectra of finite type

A spectrum-level splitting of the $k u_{R}$ -cooperations algebra

A Thom Spectrum Model for $C_{2}$ -Integral Brown--Gitler Spectra