Signed clasp numbers and four-genus bounds
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866917272877006848 |
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| author | Livingston, Charles |
| author_facet | Livingston, Charles |
| contents | There exist knots having positive and negative four-dimensional clasp numbers zero but having four-genus, and hence clasp number, arbitrarily large. Such examples were first constructed by Allison Miller, answering a question of Juhasz-Zemke. Further examples are constructed here, complementing those of Miller in that they include examples that are of infinite order in concordance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_10432 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Signed clasp numbers and four-genus bounds Livingston, Charles Geometric Topology 57K10 There exist knots having positive and negative four-dimensional clasp numbers zero but having four-genus, and hence clasp number, arbitrarily large. Such examples were first constructed by Allison Miller, answering a question of Juhasz-Zemke. Further examples are constructed here, complementing those of Miller in that they include examples that are of infinite order in concordance. |
| title | Signed clasp numbers and four-genus bounds |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2206.10432 |