Topology of maximally writhed real algebraic knots
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2017
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866917854708760576 |
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| author | Mikhalkin, Grigory Orevkov, Stepan |
| author_facet | Mikhalkin, Grigory Orevkov, Stepan |
| contents | Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots in $RP^3$ which can be viewed as a first order Vassiliev invariant. In this paper we look at real algebraic knots of degree $d$ with the maximal possible value of this invariant. We show that for a given $d$ all such knots are topologically isotopic and explicitly identify their knot type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1708_03971 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Topology of maximally writhed real algebraic knots Mikhalkin, Grigory Orevkov, Stepan Algebraic Geometry Oleg Viro introduced an invariant of rigid isotopy for real algebraic knots in $RP^3$ which can be viewed as a first order Vassiliev invariant. In this paper we look at real algebraic knots of degree $d$ with the maximal possible value of this invariant. We show that for a given $d$ all such knots are topologically isotopic and explicitly identify their knot type. |
| title | Topology of maximally writhed real algebraic knots |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1708.03971 |