Intercusp geodesics and the invariant trace field of hyperbolic 3-manifolds
Intercusp geodesics and the invariant trace field of hyperbolic 3-manifolds
Given a cusped hyperbolic 3-manifold with finite volume, we define two types of complex parameters which capture geometric information about the preimages of geodesic arcs traveling between cusp cross-sections. We prove that these parameters are elements of the invariant trace field of the manifold, providing a connection between the intrinsic …