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

Yasushi Yamashita; Haruko Nishi; Sadayoshi Kojima

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

Yasushi Yamashita^*, Haruko Nishi, Sadayoshi Kojima

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In our previous paper (Topology 38 (1999), 497-516), we discussed the hyperbolization of the configuration space of n (≥ 5) marked points with weights in the projective line up to projective transformations. Avariation 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.

Original language	English
Pages (from-to)	143-157
Number of pages	15
Journal	Geometriae Dedicata
Volume	89
Issue number	1
Publication status	Published - 2002 Dec 1
Externally published	Yes

Keywords

Configuration space
Hyperbolic cone-manifold

ASJC Scopus subject areas

Geometry and Topology

Cite this

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abstract = "In our previous paper (Topology 38 (1999), 497-516), we discussed the hyperbolization of the configuration space of n (≥ 5) marked points with weights in the projective line up to projective transformations. Avariation of the weights induces a deformation. It was shown that this correspondence of the set of the weights to the Teichm{\"u}ller 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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AU - Nishi, Haruko

AU - Kojima, Sadayoshi

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N2 - In our previous paper (Topology 38 (1999), 497-516), we discussed the hyperbolization of the configuration space of n (≥ 5) marked points with weights in the projective line up to projective transformations. Avariation 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.

AB - In our previous paper (Topology 38 (1999), 497-516), we discussed the hyperbolization of the configuration space of n (≥ 5) marked points with weights in the projective line up to projective transformations. Avariation 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.

KW - Configuration space

KW - Hyperbolic cone-manifold

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IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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