Counterexamples to Allen's conjectures
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929423986458624 |
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| author | Sato, Kouki |
| author_facet | Sato, Kouki |
| contents | We show that the torus knots $T(2,5)$ and $T(2,9)$ bound smooth Möbius bands in the 4-ball whose double branched covers are negative definite, giving counterexamples to Conjectures 1.6 and 1.8 of Allen in [New York J. Math. 29 (2023) 1038-1059]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_12049 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Counterexamples to Allen's conjectures Sato, Kouki Geometric Topology 57K10 We show that the torus knots $T(2,5)$ and $T(2,9)$ bound smooth Möbius bands in the 4-ball whose double branched covers are negative definite, giving counterexamples to Conjectures 1.6 and 1.8 of Allen in [New York J. Math. 29 (2023) 1038-1059]. |
| title | Counterexamples to Allen's conjectures |
| topic | Geometric Topology 57K10 |
| url | https://arxiv.org/abs/2407.12049 |