The Teichmuller space of a countable set of points on a Riemann surface

The Teichmuller space of a countable set of points on a Riemann surface
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黎曼曲面上可数点集的 Teichmuller 空间

DOI:
10.1090/ecgd/301
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发表时间:
2017
影响因子:
0.6
通讯作者:
Ege Fujikawa and Masahiko Taniguchi
Ege Fujikawa and Masahiko Taniguchi
中科院分区:
--
文献类型:
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作者:
Ege Fujikawa and Masahiko Taniguchi

文献摘要

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我们引入了黎曼曲面上无穷多个点的有序可数集的拟共形变形空间,并给出了通过相伴子曲面的Teichmüler空间与该点集的补集来容许复杂结构的某些条件。以类似的方式,我们给出了有限生成Klein群的拟共形形变空间的另一种定义。参考文献
We introduce the quasiconformal deformation space of an ordered countable set of an infinite number of points on a Riemann surface and give certain conditions under which it admits a complex structure via Teichmüller spaces of associated subsurfaces with the complement of the set of points. In a similar fashion, we give another definition of the quasiconformal deformation space of a finitely generated Kleinian group. References