Mathematics – Geometric Topology
Scientific paper
2010-02-10
Mathematics
Geometric Topology
This paper has been withdrawn by the author. 34 pages, 7 figures
Scientific paper
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 This paper has been withdrawn by the author.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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