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

Guchuan Li; Sarah Petersen; Elizabeth Ellen Tatum

doi:10.1090/proc/17339

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

Algebraic Topology 2026-01-08 v3

Authors: Guchuan Li , Sarah Petersen , Elizabeth Ellen Tatum

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Abstract

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 $bo \wedge bo.$

Keywords

spectral sequences spectral theory

Cite

@article{arxiv.2308.12945,
  title  = {A Thom Spectrum Model for $C_2$-Integral Brown--Gitler Spectra},
  author = {Guchuan Li and Sarah Petersen and Elizabeth Ellen Tatum},
  journal= {arXiv preprint arXiv:2308.12945},
  year   = {2026}
}

Comments

Changed subscript on Brown-Gitler spectra to agree with our subsequent paper, 15 pages, comments welcome

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

Abstract

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