Vertical Limits of Graph Domains

2014/09/19 by Hrant Hakobyan, Hakobyan, Hrant, Dragomir Saric +1
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.1409.5513

arxiv created 2014/09/19 · arxiv updated 2014/09/22

Abstract

We consider the limiting behavior of Teichmüller geodesics in the universal Teichmüller space T(ℍ). Our main result states that the limits of the Teichmüller geodesics in the Thurston's boundary of T(ℍ) may depend on both vertical and horizontal foliation of the corresponding holomorphic quadratic differential.

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