Artin-Schreier quandles of involutions in absolute Galois groups
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911574685384704 |
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| author | Szymik, Markus |
| author_facet | Szymik, Markus |
| contents | We introduce a new invariant of fields that refines their real spectrum and is related to their absolute Galois group: the Artin-Schreier quandle. For formally real number fields, it is freely generated in its variety by a Cantor space of indeterminates. For Laurent series fields, we compute it in terms of the Artin-Schreier quandle of the coefficient field. This result and other examples show that, in general, there are relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07545 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Artin-Schreier quandles of involutions in absolute Galois groups Szymik, Markus Number Theory Group Theory Geometric Topology Quantum Algebra We introduce a new invariant of fields that refines their real spectrum and is related to their absolute Galois group: the Artin-Schreier quandle. For formally real number fields, it is freely generated in its variety by a Cantor space of indeterminates. For Laurent series fields, we compute it in terms of the Artin-Schreier quandle of the coefficient field. This result and other examples show that, in general, there are relations. |
| title | Artin-Schreier quandles of involutions in absolute Galois groups |
| topic | Number Theory Group Theory Geometric Topology Quantum Algebra |
| url | https://arxiv.org/abs/2403.07545 |