arXiv subjects

Elizabeth Ellen Tatum

Publications and source records attributed to Elizabeth Ellen Tatum.

2 recordsLinked to original sources

arXiv2025

A Thom Spectrum Model for $C_2$-Integral Brown--Gitler Spectra

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 constructed enjoy properties analogous to classical nonequivariant integral Brown--Gitler spectra and thus may prove useful for producing $C_2$-equivariant analogues of splittings of $BP \langle 1 \rangle \wedge BP \langle 1 \rangle$ and $bo \wedge bo.$

math.AT↗

arXiv2023

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

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 $BP \langle 2 \rangle \wedge BP\langle 2 \rangle$.

math.AT↗