Vertical limits of graph domains

Hakobyan, Hrant; Šarić, Dragomir

doi:10.1090/proc12780

Vertical limits of graph domains
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by Hrant Hakobyan and Dragomir Šarić PDF

Proc. Amer. Math. Soc. 144 (2016), 1223-1234 Request permission

Abstract:

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

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