Complex hyperbolic cone structures on the configuration spaces

Sadayoshi Kojima

Complex hyperbolic cone structures on the configuration spaces

Sadayoshi Kojima^*

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

The space of marked n distinct points on the complex projective line up to projective transformations will be called a configuration space. There are two families of complex hyperbolic structures on the configuration space constructed by Deligne Mostow and by Thurston. We review that these families are the same, and then exhibit the families for n = 4, 5 in constrast with the deformation theory of real hyperbolic cone 3-manifolds.

Original language	English
Pages (from-to)	149-163
Number of pages	15
Journal	Rendiconti dell'Istituto di Matematica dell'Universita di Trieste
Volume	32
Publication status	Published - 2001 Jan 1
Externally published	Yes

Keywords

Complex hyperbolic geometry
Cone manifolds
Configuration space

ASJC Scopus subject areas

Mathematics(all)

Cite this

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title = "Complex hyperbolic cone structures on the configuration spaces",

abstract = "The space of marked n distinct points on the complex projective line up to projective transformations will be called a configuration space. There are two families of complex hyperbolic structures on the configuration space constructed by Deligne Mostow and by Thurston. We review that these families are the same, and then exhibit the families for n = 4, 5 in constrast with the deformation theory of real hyperbolic cone 3-manifolds.",

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N2 - The space of marked n distinct points on the complex projective line up to projective transformations will be called a configuration space. There are two families of complex hyperbolic structures on the configuration space constructed by Deligne Mostow and by Thurston. We review that these families are the same, and then exhibit the families for n = 4, 5 in constrast with the deformation theory of real hyperbolic cone 3-manifolds.

AB - The space of marked n distinct points on the complex projective line up to projective transformations will be called a configuration space. There are two families of complex hyperbolic structures on the configuration space constructed by Deligne Mostow and by Thurston. We review that these families are the same, and then exhibit the families for n = 4, 5 in constrast with the deformation theory of real hyperbolic cone 3-manifolds.

KW - Complex hyperbolic geometry

KW - Cone manifolds

KW - Configuration space

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ER -

Complex hyperbolic cone structures on the configuration spaces

Abstract

Keywords

ASJC Scopus subject areas

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