A generalisation of the Burau representation and groups $G_{n}^{3}$ for classical braids
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866910015553536000 |
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| author | Manturov, Vassily Olegovich Nikonov, Igor Mikhailovich |
| author_facet | Manturov, Vassily Olegovich Nikonov, Igor Mikhailovich |
| contents | We consider a certain modification of the group $G^3_n$ which describes dynamics of point configurations, in particular braids, and define a representation of the modified $G^3_n$. The braid representation induced is powerful enough to detect the kernel of the Burau representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_07890 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A generalisation of the Burau representation and groups $G_{n}^{3}$ for classical braids Manturov, Vassily Olegovich Nikonov, Igor Mikhailovich Geometric Topology We consider a certain modification of the group $G^3_n$ which describes dynamics of point configurations, in particular braids, and define a representation of the modified $G^3_n$. The braid representation induced is powerful enough to detect the kernel of the Burau representation. |
| title | A generalisation of the Burau representation and groups $G_{n}^{3}$ for classical braids |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2602.07890 |