2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77550Grafting is a method of obtaining new projective structures from a hyperbolic structure, basically by gluing a flat cylinder into a surface along a closed geodesic in the hyperbolic structure, or by limits of that procedure. This induces a map of Teichmuller space to itself. We prove that this map is a homeomorphism by analyzing harmonic maps between pairs of grafted surfaces. As a corollary we obtain bending coordinates for the Bers embedding of Teichmuller space.31 pages, no figuresDifferential GeometryComplex VariablesGeometric Topologytext