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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.02048 |
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| _version_ | 1866915629998538752 |
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| author | Silver, Daniel S. Traldi, Lorenzo Williams, Susan G. |
| author_facet | Silver, Daniel S. Traldi, Lorenzo Williams, Susan G. |
| contents | The core group of a classical link was introduced independently by A.J. Kelly in 1991 and M. Wada in 1992. It is a link invariant defined by a presentation involving the arcs and crossings of a diagram, related to Wirtinger's presentation of the fundamental group of a link complement. Two close relatives of the core group are defined by presentations involving regions rather than arcs; one of them is related to Dehn's presentation of a link group. The definitions are extended to virtual link diagrams and properties of the resulting invariants are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_02048 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Core groups Silver, Daniel S. Traldi, Lorenzo Williams, Susan G. Geometric Topology The core group of a classical link was introduced independently by A.J. Kelly in 1991 and M. Wada in 1992. It is a link invariant defined by a presentation involving the arcs and crossings of a diagram, related to Wirtinger's presentation of the fundamental group of a link complement. Two close relatives of the core group are defined by presentations involving regions rather than arcs; one of them is related to Dehn's presentation of a link group. The definitions are extended to virtual link diagrams and properties of the resulting invariants are discussed. |
| title | Core groups |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2311.02048 |