Vertical Limits of Graph Domains

Hrant Hakobyan; Dragomir Saric

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arXiv · 1409.5513

Vertical Limits of Graph Domains

Hrant Hakobyan·Dragomir Saric

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Abstract

We consider the limiting behavior of Teichm\"uller geodesics in the universal Teichm\"uller space $T(\mathbb{H})$. Our main result states that the limits of the Teichm\"uller 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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Hrant Hakobyan, Dragomir Saric. 2014-09-19. Vertical Limits of Graph Domains. https://arxiv.org/abs/1409.5513

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