Equivariantly slicing strongly negative amphichiral knots
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| _version_ | 1866929324545802240 |
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| author | Boyle, Keegan Issa, Ahmad |
| author_facet | Boyle, Keegan Issa, Ahmad |
| contents | We prove obstructions to a strongly negative amphichiral knot bounding an equivariant slice disk in the 4-ball using the determinant, Spinc-structures and Donaldson's theorem. Of the 16 slice strongly negative amphichiral knots with 12 or fewer crossings, our obstructions show that 8 are not equivariantly slice, we exhibit equivariant ribbon diagrams for 5 others, and the remaining 3 are unknown. Finally, we give an obstruction to a knot being strongly negative amphichiral in terms of Heegaard Floer correction terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_01198 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Equivariantly slicing strongly negative amphichiral knots Boyle, Keegan Issa, Ahmad Geometric Topology 57K10 57M60 57R85 We prove obstructions to a strongly negative amphichiral knot bounding an equivariant slice disk in the 4-ball using the determinant, Spinc-structures and Donaldson's theorem. Of the 16 slice strongly negative amphichiral knots with 12 or fewer crossings, our obstructions show that 8 are not equivariantly slice, we exhibit equivariant ribbon diagrams for 5 others, and the remaining 3 are unknown. Finally, we give an obstruction to a knot being strongly negative amphichiral in terms of Heegaard Floer correction terms. |
| title | Equivariantly slicing strongly negative amphichiral knots |
| topic | Geometric Topology 57K10 57M60 57R85 |
| url | https://arxiv.org/abs/2109.01198 |