E. Tatum

activity

20222025

collaborators

4 papers

math.AT2025

Splittings of truncated motivic Brown--Peterson cooperations algebras

Jackson Morris, Sarah Petersen, Elizabeth Tatum

We construct spectrum-level splittings of $B P G L ⟨ 1 ⟩ \land B P G L ⟨ 1 ⟩$ at all primes $p$ , where $B P G L ⟨ 1 ⟩$ is the first truncated motivic Br…

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.AT2022

On a Spectrum-level Splitting of the $B P ⟨ 2 ⟩$ -Cooperations Algebra

Elizabeth Ellen Tatum

In the 1980s, Mahowald and Kane used Brown-Gitler spectra to construct splittings of $b o \land b o$ and $B P ⟨ 1 ⟩ \land B P ⟨ 1 ⟩$ . These splittings helped ma…

Splittings of truncated motivic Brown--Peterson cooperations algebras

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

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

On a Spectrum-level Splitting of the BP⟨2⟩-Cooperations Algebra

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

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

On a Spectrum-level Splitting of the $B P ⟨ 2 ⟩$ -Cooperations Algebra