Links represented by phases of algebraic curves
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910750146035712 |
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| author | Lim, Yen-Kheng Nisse, Mounir |
| author_facet | Lim, Yen-Kheng Nisse, Mounir |
| contents | The prime motivation behind this paper is to prove that any torus link can be realized as the union of the one-dimensional connected components of the set of critical values of the argument map restricted to a complex algebraic plane curve. Moreover, we give an explicit relation between the Newton polygon of such plane curves, and the number of components of the given torus link. This work aims to represent the starting point for a connection between knot theory, tropical geometry, and (co)amoebas. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_11835 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Links represented by phases of algebraic curves Lim, Yen-Kheng Nisse, Mounir Algebraic Geometry Complex Variables General Topology 14T99, 32S55 The prime motivation behind this paper is to prove that any torus link can be realized as the union of the one-dimensional connected components of the set of critical values of the argument map restricted to a complex algebraic plane curve. Moreover, we give an explicit relation between the Newton polygon of such plane curves, and the number of components of the given torus link. This work aims to represent the starting point for a connection between knot theory, tropical geometry, and (co)amoebas. |
| title | Links represented by phases of algebraic curves |
| topic | Algebraic Geometry Complex Variables General Topology 14T99, 32S55 |
| url | https://arxiv.org/abs/2311.11835 |