The Zero Slice of Quaternionic Real Bordism
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866913083243364352 |
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| author | Guillou, Bertrand J. Keyes, Jesse Mehrle, David |
| author_facet | Guillou, Bertrand J. Keyes, Jesse Mehrle, David |
| contents | Using the Hill-Hopkins-Ravenel norm, one can produce a $Q_8$-spectrum $N_{C_2}^{Q_8} \text{MU}\mathbb{R}$, where $Q_8$ is the quaternion group. Working towards a computation of the slice spectral sequence for $N_{C_2}^{Q_8} \text{MU}\mathbb{R}$, we compute the zero slice of $N_{C_2}^{Q_8} \text{MU}\mathbb{R}$ and a bigraded subring of the $\text{RO}(Q_8)$-graded homotopy Mackey functors of this slice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01174 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Zero Slice of Quaternionic Real Bordism Guillou, Bertrand J. Keyes, Jesse Mehrle, David Algebraic Topology Using the Hill-Hopkins-Ravenel norm, one can produce a $Q_8$-spectrum $N_{C_2}^{Q_8} \text{MU}\mathbb{R}$, where $Q_8$ is the quaternion group. Working towards a computation of the slice spectral sequence for $N_{C_2}^{Q_8} \text{MU}\mathbb{R}$, we compute the zero slice of $N_{C_2}^{Q_8} \text{MU}\mathbb{R}$ and a bigraded subring of the $\text{RO}(Q_8)$-graded homotopy Mackey functors of this slice. |
| title | The Zero Slice of Quaternionic Real Bordism |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2605.01174 |