We show that any grafting ray in Teichmuller space determined by an arational lamination or a multicurve is (strongly) asymptotic to a Teichmuller geodesic ray. As a consequence the projection of a generic grafting ray to the moduli space is dense. We also show that the set of points in Teichmuller space obtained by integer (2π-) graftings on any hyperbolic surface projects to a dense set in the moduli space. This implies that the conformal surfaces underlying complex projective structures with any fixed Fuchsian holonomy are dense in the moduli space.
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