On the trace fields of hyperbolic Dehn fillings
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866914725031313408 |
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| author | Garoufalidis, Stavros Jeon, BoGwang |
| author_facet | Garoufalidis, Stavros Jeon, BoGwang |
| contents | Assuming Lehmer's conjecture, we estimate the degree of the trace field $K(M_{p/q})$ of a hyperbolic Dehn-filling $M_{p/q}$ of a 1-cusped hyperbolic 3-manifold $M$ by $$ \dfrac{1}{C}(\max\;\{|p|,|q|\})\leq \text{deg }K(M_{p/q}) \leq C(\max\;\{|p|,|q|\}) $$ where $C=C_M$ is a constant that depends on $M$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2103_00767 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the trace fields of hyperbolic Dehn fillings Garoufalidis, Stavros Jeon, BoGwang Geometric Topology Number Theory Assuming Lehmer's conjecture, we estimate the degree of the trace field $K(M_{p/q})$ of a hyperbolic Dehn-filling $M_{p/q}$ of a 1-cusped hyperbolic 3-manifold $M$ by $$ \dfrac{1}{C}(\max\;\{|p|,|q|\})\leq \text{deg }K(M_{p/q}) \leq C(\max\;\{|p|,|q|\}) $$ where $C=C_M$ is a constant that depends on $M$. |
| title | On the trace fields of hyperbolic Dehn fillings |
| topic | Geometric Topology Number Theory |
| url | https://arxiv.org/abs/2103.00767 |