Connected sum and crossing numbers of flat virtual knots
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914885818908672 |
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| author | Chen, Jie |
| author_facet | Chen, Jie |
| contents | The connected sum of two flat virtual knots depends on the choice of diagrams and basepoints. We show that any minimal crossing diagram of a composite flat virtual knot is a connected sum diagram. We also show the crossing number of flat virtual knots is super-additive under connected sum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03994 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Connected sum and crossing numbers of flat virtual knots Chen, Jie Geometric Topology 57K10, 57K12 The connected sum of two flat virtual knots depends on the choice of diagrams and basepoints. We show that any minimal crossing diagram of a composite flat virtual knot is a connected sum diagram. We also show the crossing number of flat virtual knots is super-additive under connected sum. |
| title | Connected sum and crossing numbers of flat virtual knots |
| topic | Geometric Topology 57K10, 57K12 |
| url | https://arxiv.org/abs/2312.03994 |