The grafting map of Teichmuller space

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Grafting 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 figures

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Differential Geometry, Complex Variables, Geometric Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/77550

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810082
 http://arxiv.org/abs/math/9810082

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arXiv