Configuration Spaces of Points on the Circle and Hyperbolic Dehn Fillings
نویسندگان
چکیده
A purely combinatorial compactification of the configuration space of n (≥ 5) distinct points with equal weights in the real projective line was introduced by M. Yoshida. We geometrize it so that it will be a real hyperbolic cone-manifold of finite volume with dimension n − 3. Then, we vary weights for points. The geometrization still makes sense and yields a deformation. The effectivity of deformations arisen in this manner will be locally described in the existing deformation theory of hyperbolic structures when n − 3 = 2, 3.
منابع مشابه
Configuration Spaces of Points on the Circle and Hyperbolic Dehn Fillings, Ii
In our previous paper, we discussed the hyperbolization of the configuration space of n (≥ 5) marked points with weights in the projective line up to projective transformations. A variation of the weights induces a deformation. It was shown that this correspondence of the set of the weights to the Teichmüller space when n = 5 and to the Dehn filling space when n = 6 is locally one-to-one near t...
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