Effective drilling and filling of tame hyperbolic 3-manifolds
Effective drilling and filling of tame hyperbolic 3-manifolds
We give effective bilipschitz bounds on the change in metric between thick parts of a cusped hyperbolic 3-manifold and its long Dehn fillings. In the thin parts of the manifold, we give effective bounds on the change in complex length of a short closed geodesic. These results quantify the filling …