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The Cross-ratio Compactification of the Configuration Space of Ordered Points on

The Cross-ratio Compactification of the Configuration Space of Ordered Points on
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摘要 A natural compactification of the virtual configuration space of N points on the Riemann sphere C is constructed by using cross-ratios. We show that this compactification is homeomorphic to the Bers＇ compactification of the virtual moduli space of a punctured Riemann sphere of type N. In particular, the system of global and explicit coordinates of this standard compactification is given by cross-ratios. A natural compactification of the virtual configuration space of N points on the Riemann sphere C is constructed by using cross-ratios. We show that this compactification is homeomorphic to the Bers＇ compactification of the virtual moduli space of a punctured Riemann sphere of type N. In particular, the system of global and explicit coordinates of this standard compactification is given by cross-ratios.
作者 Risako FUNAHASHI Masahiko TANIGUCHI
机构地区 Department of Mathematics Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2012年第10期2129-2138,共10页 数学学报（英文版）
基金 supported by Grants-in-Aid for Scientific Research (C) (Grant No. 23540202) Grant-in-Aids for Scientific Research (B) (Grant No. 20340030)
关键词 Cross-ratios configuration space planar domains with nodes Cross-ratios, configuration space, planar domains with nodes
分类号 O189 [理学—基础数学]
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参考文献9

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Acta Mathematica Sinica,English Series
2012年 第10期

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