New infinite families in the stable homotopy groups of spheres
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917296120791040 |
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| author | Bhattacharya, Prasit Bobkova, Irina Quigley, J. D. |
| author_facet | Bhattacharya, Prasit Bobkova, Irina Quigley, J. D. |
| contents | We identify seven new $192$-periodic infinite families of elements in the $2$-primary stable homotopy groups of spheres. Although their Hurewicz image is trivial for topological modular forms, they remain nontrivial after $\mathrm{T}(2)$- as well as $\mathrm{K}(2)$-localization. We also obtain new information about $2$-torsion and $2$-divisibility of some of the previously known $192$-periodic infinite families in the stable stems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10062 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New infinite families in the stable homotopy groups of spheres Bhattacharya, Prasit Bobkova, Irina Quigley, J. D. Algebraic Topology 55Q10, 55Q45, 55Q51 We identify seven new $192$-periodic infinite families of elements in the $2$-primary stable homotopy groups of spheres. Although their Hurewicz image is trivial for topological modular forms, they remain nontrivial after $\mathrm{T}(2)$- as well as $\mathrm{K}(2)$-localization. We also obtain new information about $2$-torsion and $2$-divisibility of some of the previously known $192$-periodic infinite families in the stable stems. |
| title | New infinite families in the stable homotopy groups of spheres |
| topic | Algebraic Topology 55Q10, 55Q45, 55Q51 |
| url | https://arxiv.org/abs/2404.10062 |