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arXiv · 2208.10763

Thurston's compactification via geodesic currents: The case of non-compact finite area surfaces

Marie Trin
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Abstract

In [Bon88], Bonahon gave a construction of Thurston's compactification of Teichm{\"u}ller space using geodesic currents. His argument only applies in the case of closed surfaces, and there are good reasons for that. We present a variant which applies to surfaces of finite area.

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Marie Trin. 2022-08-23. Thurston's compactification via geodesic currents: The case of non-compact finite area surfaces. https://arxiv.org/abs/2208.10763

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