Machine Proofs for Adams Differentials and Extension Problems among CW Spectra
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915166029873152 |
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| author | Lin, Weinan Wang, Guozhen Xu, Zhouli |
| author_facet | Lin, Weinan Wang, Guozhen Xu, Zhouli |
| contents | In this document, we describe the process of obtaining numerous Adams differentials and extensions using computational methods, as well as how to interpret the dataset uploaded to Zenodo. Detailed proofs of the machine-generated results are also provided. The dataset includes information on 49 CW spectra, 180 maps, and 61 cofiber sequences. Leveraging these results, and with the addition of some ad hoc arguments derived through human insight, we successfully resolved the Last Kervaire Invariant Problem in dimension 126. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_10876 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Machine Proofs for Adams Differentials and Extension Problems among CW Spectra Lin, Weinan Wang, Guozhen Xu, Zhouli Algebraic Topology General Topology 14F42, 55T15, 55Q10, 55Q45, 57R55, 57R60 In this document, we describe the process of obtaining numerous Adams differentials and extensions using computational methods, as well as how to interpret the dataset uploaded to Zenodo. Detailed proofs of the machine-generated results are also provided. The dataset includes information on 49 CW spectra, 180 maps, and 61 cofiber sequences. Leveraging these results, and with the addition of some ad hoc arguments derived through human insight, we successfully resolved the Last Kervaire Invariant Problem in dimension 126. |
| title | Machine Proofs for Adams Differentials and Extension Problems among CW Spectra |
| topic | Algebraic Topology General Topology 14F42, 55T15, 55Q10, 55Q45, 57R55, 57R60 |
| url | https://arxiv.org/abs/2412.10876 |