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| Main Authors: | , |
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| Format: | Preprint |
| Udgivet: |
2020
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| Fag: | |
| Online adgang: | https://arxiv.org/abs/2004.07056 |
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Indholdsfortegnelse:
- Meier and Zupan introduced bridge trisections of surface links in $S^4$ as a 4-dimensional analogue to bridge decompositions of classical links, which gives a numerical invariant of surface links called the bridge number. We prove that there exist infinitely many surface knots with bridge number $n$ for any integer $n \geq 4$. To prove it, we use colorings of surface links by keis and give lower bounds for the bridge number of surface links.