Flat-virtual knot: introduction and some invariants
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917698786557952 |
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| author | Manturov, V. O. Nikonov, I. M. |
| author_facet | Manturov, V. O. Nikonov, I. M. |
| contents | The motivation for this work is to construct a map from classical knots to virtual ones. What we get in the paper is a series of maps from knots in the full torus (thickened torus) to flat-virtual knots. We give definition of flat-virtual knots and presents Alexander-like polynomial and (picture-valued) Kauffman bracket for them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12864 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flat-virtual knot: introduction and some invariants Manturov, V. O. Nikonov, I. M. Geometric Topology 57K12 The motivation for this work is to construct a map from classical knots to virtual ones. What we get in the paper is a series of maps from knots in the full torus (thickened torus) to flat-virtual knots. We give definition of flat-virtual knots and presents Alexander-like polynomial and (picture-valued) Kauffman bracket for them. |
| title | Flat-virtual knot: introduction and some invariants |
| topic | Geometric Topology 57K12 |
| url | https://arxiv.org/abs/2406.12864 |