The duality resolution at $n=p=2$
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912221252026368 |
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| author | Beaudry, Agnès Bobkova, Irina Henn, Hans-Werner |
| author_facet | Beaudry, Agnès Bobkova, Irina Henn, Hans-Werner |
| contents | Working at the prime $2$ and chromatic height $2$, we construct a finite resolution of the homotopy fixed points of Morava $E$-theory with respect to the subgroup $\mathbb{G}_2^1$ of the Morava stabilizer group. This is an upgrade of the finite resolution of the homotopy fixed points of $E$-theory with respect to the subgroup $\mathbb{S}_2^1$ constructed in work of Goerss-Henn-Mahowald-Rezk, Beaudry and Bobkova-Goerss. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03141 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The duality resolution at $n=p=2$ Beaudry, Agnès Bobkova, Irina Henn, Hans-Werner Algebraic Topology 55P42 Working at the prime $2$ and chromatic height $2$, we construct a finite resolution of the homotopy fixed points of Morava $E$-theory with respect to the subgroup $\mathbb{G}_2^1$ of the Morava stabilizer group. This is an upgrade of the finite resolution of the homotopy fixed points of $E$-theory with respect to the subgroup $\mathbb{S}_2^1$ constructed in work of Goerss-Henn-Mahowald-Rezk, Beaudry and Bobkova-Goerss. |
| title | The duality resolution at $n=p=2$ |
| topic | Algebraic Topology 55P42 |
| url | https://arxiv.org/abs/2502.03141 |