Configuration spaces of points on the circle and hyperbolic Dehn fillings
Geometric Topology
2007-05-23 v1
Abstract
A purely combinatorial compactification of the configuration space of n (>4) 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.
Keywords
Cite
@article{arxiv.math/9809147,
title = {Configuration spaces of points on the circle and hyperbolic Dehn fillings},
author = {Sadayoshi Kojima and Haruko Nishi and Yasushi Yamashita},
journal= {arXiv preprint arXiv:math/9809147},
year = {2007}
}
Comments
22 pages, to appear in Topology