Finiteness of purely cosmetic fillings
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908808929869824 |
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| author | Ichihara, Kazuhiro |
| author_facet | Ichihara, Kazuhiro |
| contents | A pair of Dehn fillings on a compact, orientable 3-manifold with a torus boundary is said to be purely cosmetic if the resulting 3-manifolds are orientation-preservingly homeomorphic. In this paper, we show that if the torus boundary is incompressible, then there are only finitely many pairs of purely cosmetic fillings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03788 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Finiteness of purely cosmetic fillings Ichihara, Kazuhiro Geometric Topology Primary 57K30, Secondary 57K32, 57K35 A pair of Dehn fillings on a compact, orientable 3-manifold with a torus boundary is said to be purely cosmetic if the resulting 3-manifolds are orientation-preservingly homeomorphic. In this paper, we show that if the torus boundary is incompressible, then there are only finitely many pairs of purely cosmetic fillings. |
| title | Finiteness of purely cosmetic fillings |
| topic | Geometric Topology Primary 57K30, Secondary 57K32, 57K35 |
| url | https://arxiv.org/abs/2509.03788 |