On the trace fields of hyperbolic Dehn fillings

Stavros Garoufalidis, BoGwang Jeon

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}{…