Variation of holonomy for projective structures and an application to drilling hyperbolic 3-manifolds
arXiv:2310.10890
Abstract
We bound the derivative of complex length of a geodesic under variation of the projective structure on a closed surface in terms of the norm of the Schwarzian in a neighborhood of the geodesic. One application is to cone-manifold deformations of acylindrical hyperbolic 3-manifolds.
25 pages, 1 figure