E. Tatum

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20222025

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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…

Splittings of truncated motivic Brown--Peterson cooperations algebras

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

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