A Thom Spectrum Model for $C_2$-Integral Brown--Gitler Spectra
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866911357096427520 |
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| author | Li, Guchuan Petersen, Sarah Tatum, Elizabeth Ellen |
| author_facet | Li, Guchuan Petersen, Sarah Tatum, Elizabeth Ellen |
| contents | 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 $bo \wedge bo.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_12945 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Thom Spectrum Model for $C_2$-Integral Brown--Gitler Spectra Li, Guchuan Petersen, Sarah Tatum, Elizabeth Ellen Algebraic Topology 55P42, 55P91, 55P92 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 $bo \wedge bo.$ |
| title | A Thom Spectrum Model for $C_2$-Integral Brown--Gitler Spectra |
| topic | Algebraic Topology 55P42, 55P91, 55P92 |
| url | https://arxiv.org/abs/2308.12945 |