teichm ller理论中的全纯二次微分

Handbook of Teichmüller Theory, Volume VII Pub Date : 2019-02-18 DOI:10.4171/203-1/4

Subhojoy Gupta

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引用次数: 2

摘要

本文阐述了全纯二次微分是如何在Teichm\ \ uller理论的几个方面出现的，突出了它们与曲面上各种几何结构的关系。最后一节总结了有限型非紧曲面的结果，当二次微分在点处具有有限阶极点时。

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Holomorphic quadratic differentials in Teichmüller theory

This expository survey describes how holomorphic quadratic differentials arise in several aspects of Teichm\"uller theory, highlighting their relation with various geometric structures on surfaces. The final section summarizes results for non-compact surfaces of finite type, when the quadratic differential has poles of finite order at the punctures.

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Handbook of Teichmüller Theory, Volume VII

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