On the trace fields of hyperbolic Dehn fillings

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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Abstract

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