论双曲德恩填充的迹场

IF 0.8 3区数学 Q2 MATHEMATICS Bulletin of the London Mathematical Society Pub Date : 2024-05-04 DOI:10.1112/blms.13059

Stavros Garoufalidis, BoGwang Jeon

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摘要

假设雷默猜想成立，我们可以通过以下公式估算双曲 Dehn 填充 M p / q $M_{p/q}$ 的迹域 K ( M p / q ) $K(M_{p/q})$ 的度数： 1 角双曲 3 维曲面 M $M$ 的双曲 Dehn 填充 M p / q $M_{p/q}$ 的度数为

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On the trace fields of hyperbolic Dehn fillings

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