Determinant of the OU matrix of a braid diagram
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909377576828928 |
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| author | Shimizu, Ayaka Yaguchi, Yoshiro |
| author_facet | Shimizu, Ayaka Yaguchi, Yoshiro |
| contents | In this paper, we define the OU matrix of a braid diagram and discuss how the OU matrix reflects the warping degree or the layeredness of the braid diagram, and show that the determinant of the OU matrix of a layered braid diagram is the product of the determinants of the layers. We also introduce invariants of positive braids which are derived from the OU matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17778 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Determinant of the OU matrix of a braid diagram Shimizu, Ayaka Yaguchi, Yoshiro Geometric Topology In this paper, we define the OU matrix of a braid diagram and discuss how the OU matrix reflects the warping degree or the layeredness of the braid diagram, and show that the determinant of the OU matrix of a layered braid diagram is the product of the determinants of the layers. We also introduce invariants of positive braids which are derived from the OU matrix. |
| title | Determinant of the OU matrix of a braid diagram |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2410.17778 |