منابع مشابه
Dual Teichmüller and Lamination Spaces
We survey explicit coordinate descriptions for two (A and X) versions of Teichmüller and lamination spaces for open 2D surfaces, and extend them to the more general setup of surfaces with distinguished collections of points on the boundary. Main features, such as mapping class group action, Poisson and symplectic structures and others, are described in these terms. The lamination spaces are int...
متن کاملDual Teichmüller Spaces
We describe in elementary geometrical terms Teichmüller spaces of decorated and holed surfaces. We construct explicit global coordinates on them as well as on the spaces of measured laminations with compact and closed support respectively and show explicitly that the latter spaces are asymptotically isomorphic to the former. We discuss briefly quantisation of Teichmüller spaces and some other a...
متن کاملComputing Teichmüller Maps between Polygons
By the Riemann-mapping theorem, one can bijectively map the interior of an n-gon P to that of another n-gon Q conformally. However, (the boundary extension of) this mapping need not necessarily map the vertices of P to those Q. In this case, one wants to find the “best" mapping between these polygons, i.e., one that minimizes the maximum angle distortion (the dilatation) over all points in P . ...
متن کاملCanonical Mappings between Teichmüller Spaces
Introduction. In an important survey article [BIO] Bers reported on the state of knowledge of Teichmüller theory. There has been a lot of progress in the field since that time. The purpose of this paper is to summarize the recent work in one area of Teichmüller space theory. We will concentrate on the hyperbolic properties of Teichmüller spaces, and present as many consequences of this hyperbol...
متن کاملHarmonic Maps between 3 - Dimensional Hyperbolic Spaces
We prove that a quasiconformal map of the sphere S admits a harmonic quasi-isometric extension to the hyperbolic space H, thus confirming the well known Schoen Conjecture in dimension 3.
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ژورنال
عنوان ژورنال: Journal of Topology and Analysis
سال: 2019
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s1793525320500156