Applications of the Dynnikov coordinate system on the boundary of Teichm\"uller space

S. Öykü Yurttaş

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arXiv · 1812.11769

Applications of the Dynnikov coordinate system on the boundary of Teichm\"uller space

S. Öykü Yurttaş

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Abstract

The Dynnikov coordinate system puts global coordinates on the boundary of Teichm\"uller space of an $n$--punctured disk. We survey the Dynnikov coordinate system, and investigate how we use this coordinate system to study pseudo--Anosov braids making use of results from Thurston's theory on surface homeomorphisms.

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S. Öykü Yurttaş. 2018-12-31. Applications of the Dynnikov coordinate system on the boundary of Teichm\"uller space. https://arxiv.org/abs/1812.11769

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