Configuration spaces of points on the circle and hyperbolic Dehn fillings, II

Yasushi Yamashita; Haruko Nishi; Sadayoshi Kojima

doi:10.1023/a:1014220417320

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Configuration spaces of points on the circle and hyperbolic Dehn fillings, II

Yasushi Yamashita·Haruko Nishi·Sadayoshi Kojima

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Abstract

In our previous paper, we discussed the hyperbolization of the configuration space of n(> 4) 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 the equal weight. In this paper, we establish its global injectivity.

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Yasushi Yamashita, Haruko Nishi, Sadayoshi Kojima. 1999-07-24. Configuration spaces of points on the circle and hyperbolic Dehn fillings, II. https://doi.org/10.1023/a%3A1014220417320

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