Peripheral structures of core groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918354635194368 |
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| author | Silver, Daniel S. Traldi, Lorenzo |
| author_facet | Silver, Daniel S. Traldi, Lorenzo |
| contents | The core group is an invariant of unoriented virtual links. We introduce a peripheral structure for the core group, in which the longitudes are sensitive to orientations. We show that the combination of the core group and its peripheral structure is equivalent, as a link invariant, to the combination of the $π$-orbifold group and its peripheral structure. Examples show that the peripheral structure of the core group can be used to verify noninvertibility of some knots and links. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06365 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Peripheral structures of core groups Silver, Daniel S. Traldi, Lorenzo Geometric Topology The core group is an invariant of unoriented virtual links. We introduce a peripheral structure for the core group, in which the longitudes are sensitive to orientations. We show that the combination of the core group and its peripheral structure is equivalent, as a link invariant, to the combination of the $π$-orbifold group and its peripheral structure. Examples show that the peripheral structure of the core group can be used to verify noninvertibility of some knots and links. |
| title | Peripheral structures of core groups |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2504.06365 |