The grafting map of Teichmuller space

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dc.creatorScannell, Kevin P.
dc.creatorWolf, Michael
dc.date1998-10-13
dc.date.accessioned2026-07-07T05:26:26Z
dc.date.available2026-07-07T05:26:26Z
dc.descriptionGrafting 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.
dc.description31 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/9810082
dc.identifierhttp://arxiv.org/abs/math/9810082
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77550
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subjectGeometric Topology
dc.titleThe grafting map of Teichmuller space
dc.typetext

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