Asymptotic Geometry of the Mapping Class Group and Teichmuller Space
Asymptotic Geometry of the Mapping Class Group and Teichmuller Space
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映射类群和Teichmuller空间的渐近几何
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
Jason A. Behrstock
中科院分区：
文献类型：
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作者：
Jason A. Behrstock
本文研究了映射类群和Teichmuller空间的渐近几何。我们介绍了用于分析从这些空间到次曲面曲线复合体的“投影”映射几何的工具；由此得到了它们的渐近锥的拓扑信息。我们推断出这种分析的几种应用。其中之一是映射类群的渐近锥。
In this work, we study the asymptotic geometry of the mapping class group and Teichmuller space. We introduce tools for analyzing the geometry of “projection” maps from these spaces to curve complexes of subsurfaces; from this we obtain information concerning the topology of their asymptotic cones. We deduce several applications of this analysis. One of which is that the asymptotic cone of the mapping class group.