Classification of hyperbolic Dehn fillings I
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866917841414914048 |
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| author | Jeon, BoGwang |
| author_facet | Jeon, BoGwang |
| contents | Let $M$ be a $2$-cusped hyperbolic $3$-manifold. By the work of Thurston, the product of the derivatives of the holonomies of core geodesics of each Dehn filling of $M$ is an invariant of it. In this paper, we classify Dehn fillings of $M$ with sufficiently large coefficients using this invariant. Further, for any given two Dehn fillings of $M$ (with sufficiently larger coefficients), if their aforementioned invariants are the same, it is shown their complex volumes are the same as well. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_09911 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Classification of hyperbolic Dehn fillings I Jeon, BoGwang Geometric Topology Number Theory Let $M$ be a $2$-cusped hyperbolic $3$-manifold. By the work of Thurston, the product of the derivatives of the holonomies of core geodesics of each Dehn filling of $M$ is an invariant of it. In this paper, we classify Dehn fillings of $M$ with sufficiently large coefficients using this invariant. Further, for any given two Dehn fillings of $M$ (with sufficiently larger coefficients), if their aforementioned invariants are the same, it is shown their complex volumes are the same as well. |
| title | Classification of hyperbolic Dehn fillings I |
| topic | Geometric Topology Number Theory |
| url | https://arxiv.org/abs/2208.09911 |