Gardiner-Masur boundary of Teichmuller space : Vanishing subsurfaces and Uniquely ergodic boundary points

Hideki Miyachi

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arXiv · 1002.1982

Gardiner-Masur boundary of Teichmuller space : Vanishing subsurfaces and Uniquely ergodic boundary points

Hideki Miyachi

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Abstract

In this paper, we investigate the structure of the Gardiner-Masur boundary of Teichmuller space. Indeed, we will give a geometric description of boundary comparing to the Duchin-Leininger-Rafi compactification of the space of singular flat structures. We will obtain the coincidence between the Gardiner-Masur boundary and the Thurston boundary at the projective classes of uniquely ergodic measured foliations. We also study the action of the mapping class group on the Gardiner-Masur boundary and characterize the elements by fixed points. This paper has been withdrawn by the author. This paper will be renewal and the author will publish extended results elsewhere. If someone wants to see this preprint, please ask and consult the author.

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BibTeX RIS

Hideki Miyachi. 2010-12-27. Gardiner-Masur boundary of Teichmuller space : Vanishing subsurfaces and Uniquely ergodic boundary points. https://arxiv.org/abs/1002.1982

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