Bounding the Kirby-Thompson invariant of spun knots
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
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| _version_ | 1866909036531679232 |
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| author | Aranda, Román Pongtanapaisan, Puttipong Taylor, Scott A. Zhang, Cindy |
| author_facet | Aranda, Román Pongtanapaisan, Puttipong Taylor, Scott A. Zhang, Cindy |
| contents | A bridge trisection of a smooth surface in $S^4$ is a decomposition analogous to a bridge splitting of a link in $S^3$. The Kirby-Thompson invariant of a bridge trisection measures its complexity in terms of distances between disc sets in the pants complex of the trisection surface. We give the first significant bounds for the Kirby-Thompson invariant of spun knots. In particular, we show that the Kirby-Thompson invariant of the spun trefoil is 15. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_02420 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Bounding the Kirby-Thompson invariant of spun knots Aranda, Román Pongtanapaisan, Puttipong Taylor, Scott A. Zhang, Cindy Geometric Topology A bridge trisection of a smooth surface in $S^4$ is a decomposition analogous to a bridge splitting of a link in $S^3$. The Kirby-Thompson invariant of a bridge trisection measures its complexity in terms of distances between disc sets in the pants complex of the trisection surface. We give the first significant bounds for the Kirby-Thompson invariant of spun knots. In particular, we show that the Kirby-Thompson invariant of the spun trefoil is 15. |
| title | Bounding the Kirby-Thompson invariant of spun knots |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2112.02420 |