On a Spectrum-level Splitting of the $BP \langle 2 \rangle$-Cooperations Algebra

Elizabeth Ellen Tatum

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arXiv · 2208.11772

On a Spectrum-level Splitting of the $BP \langle 2 \rangle$-Cooperations Algebra

Elizabeth Ellen Tatum

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Abstract

In the 1980s, Mahowald and Kane used Brown-Gitler spectra to construct splittings of $bo \wedge bo$ and $BP\langle 1 \rangle \wedge BP\langle 1 \rangle$. These splittings helped make it feasible to do computations using the $bo$- and $BP \langle 1 \rangle$-based Adams spectral sequences. In this paper, we construct an analogous splitting for $BP \langle 2 \rangle \wedge BP\langle 2 \rangle$.

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Elizabeth Ellen Tatum. 2022-08-24. On a Spectrum-level Splitting of the $BP \langle 2 \rangle$-Cooperations Algebra. https://arxiv.org/abs/2208.11772

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