A note on the pure cactus group of degree three and the configuration space of four points on the circle
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929479137361920 |
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| author | Hama, Takatoshi Ichihara, Kazuhiro |
| author_facet | Hama, Takatoshi Ichihara, Kazuhiro |
| contents | The cactus group was introduced by Henriques and Kamnitzer as an analogue of the braid group. In this note, we provide an explicit description of the relationship between the pure cactus group of degree three and the configuration space of four points on the circle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_15478 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A note on the pure cactus group of degree three and the configuration space of four points on the circle Hama, Takatoshi Ichihara, Kazuhiro Group Theory Geometric Topology 20F65, 20F38, 05E18, 57M60 The cactus group was introduced by Henriques and Kamnitzer as an analogue of the braid group. In this note, we provide an explicit description of the relationship between the pure cactus group of degree three and the configuration space of four points on the circle. |
| title | A note on the pure cactus group of degree three and the configuration space of four points on the circle |
| topic | Group Theory Geometric Topology 20F65, 20F38, 05E18, 57M60 |
| url | https://arxiv.org/abs/2408.15478 |