The Borel and genuine $C_2$-equivariant Adams spectral sequences
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arXiv
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866918145899364352 |
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| author | Ma, Sihao |
| author_facet | Ma, Sihao |
| contents | We find out some relations between the classical Adams spectral sequences for stunted real projective spectra, the Borel $C_2$-equivariant Adams spectral sequence for the 2-completed sphere, and the genuine $C_2$-equivariant Adams spectral sequence for the 2-completed sphere. This allows us to understand the genuine $C_2$-equivariant Adams spectral sequence from the Borel Adams spectral sequences. We show that the Borel Adams spectral sequence is computable as a classical Adams spectral sequence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_12883 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Borel and genuine $C_2$-equivariant Adams spectral sequences Ma, Sihao Algebraic Topology We find out some relations between the classical Adams spectral sequences for stunted real projective spectra, the Borel $C_2$-equivariant Adams spectral sequence for the 2-completed sphere, and the genuine $C_2$-equivariant Adams spectral sequence for the 2-completed sphere. This allows us to understand the genuine $C_2$-equivariant Adams spectral sequence from the Borel Adams spectral sequences. We show that the Borel Adams spectral sequence is computable as a classical Adams spectral sequence. |
| title | The Borel and genuine $C_2$-equivariant Adams spectral sequences |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2208.12883 |