Guchuan Li

collaborators

2 papers

math.AT2026

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.AT2025

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…

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

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

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

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