On Hasse norm principle for 3-manifolds in arithmetic topology
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913843014270976 |
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| author | Tashiro, Hirotaka |
| author_facet | Tashiro, Hirotaka |
| contents | Following the analogies between knots and primes, 3-manifolds and number rings in arithmetic topology, we show a topological analogue of the Hasse norm principle for finite cyclic coverings of 3-manifolds, which was originally stated for finite cyclic extensions of number fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06464 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Hasse norm principle for 3-manifolds in arithmetic topology Tashiro, Hirotaka Geometric Topology Number Theory Primary 57M12, 14G12, Secondary 57M10, 11R37 Following the analogies between knots and primes, 3-manifolds and number rings in arithmetic topology, we show a topological analogue of the Hasse norm principle for finite cyclic coverings of 3-manifolds, which was originally stated for finite cyclic extensions of number fields. |
| title | On Hasse norm principle for 3-manifolds in arithmetic topology |
| topic | Geometric Topology Number Theory Primary 57M12, 14G12, Secondary 57M10, 11R37 |
| url | https://arxiv.org/abs/2404.06464 |