Quasitoric representation of generalized braids
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913590010707968 |
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| author | Nanda, Neha Singh, Manpreet |
| author_facet | Nanda, Neha Singh, Manpreet |
| contents | In this paper, we define generalized braid theories in alignment with the language of Fenn and Bartholomew for knot theories, and compute a generating set for the pure generalized braid theories. Using this, we prove that every oriented normal generalized knot is the closure of a quasitoric normal generalized braid. Further, we prove that the set of quasitoric normal generalized braids forms a subgroup of normal generalized braid group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18783 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasitoric representation of generalized braids Nanda, Neha Singh, Manpreet Geometric Topology Group Theory 57K10, 20F36 In this paper, we define generalized braid theories in alignment with the language of Fenn and Bartholomew for knot theories, and compute a generating set for the pure generalized braid theories. Using this, we prove that every oriented normal generalized knot is the closure of a quasitoric normal generalized braid. Further, we prove that the set of quasitoric normal generalized braids forms a subgroup of normal generalized braid group. |
| title | Quasitoric representation of generalized braids |
| topic | Geometric Topology Group Theory 57K10, 20F36 |
| url | https://arxiv.org/abs/2411.18783 |