New simple $η$-torsion families of elements in the stable stems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915910619496448 |
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| author | Bobkova, Irina Quigley, J. D. |
| author_facet | Bobkova, Irina Quigley, J. D. |
| contents | We produce five 192-periodic infinite families of simple $η$-torsion elements in the stable homotopy groups of spheres with trivial image under the tmf-Hurewicz homomorphism. We also establish that several other 192-periodic families in the stable stems, which are in the tmf-Hurewicz image, consist of simple $η$-torsion elements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_21181 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New simple $η$-torsion families of elements in the stable stems Bobkova, Irina Quigley, J. D. Algebraic Topology 55P42, 55Q10, 55Q45, 55Q51 We produce five 192-periodic infinite families of simple $η$-torsion elements in the stable homotopy groups of spheres with trivial image under the tmf-Hurewicz homomorphism. We also establish that several other 192-periodic families in the stable stems, which are in the tmf-Hurewicz image, consist of simple $η$-torsion elements. |
| title | New simple $η$-torsion families of elements in the stable stems |
| topic | Algebraic Topology 55P42, 55Q10, 55Q45, 55Q51 |
| url | https://arxiv.org/abs/2410.21181 |