Divide knots of maximal genus defect
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866909957937430528 |
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| author | Liechti, Livio |
| author_facet | Liechti, Livio |
| contents | We construct divide knots with arbitrary smooth four-genus but topological four-genus equal to one. In particular, for strongly quasipositive fibred knots, the ratio between the topological and the smooth four-genus can be arbitrarily close to zero. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_04053 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Divide knots of maximal genus defect Liechti, Livio Geometric Topology 57K10 We construct divide knots with arbitrary smooth four-genus but topological four-genus equal to one. In particular, for strongly quasipositive fibred knots, the ratio between the topological and the smooth four-genus can be arbitrarily close to zero. |
| title | Divide knots of maximal genus defect |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2004.04053 |