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arxiv: 1812.11769 · v1 · pith:BUIQA2BAnew · submitted 2018-12-31 · 🧮 math.GT

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

classification 🧮 math.GT
keywords coordinatesystemdynnikovboundaryspaceteichmullerapplications
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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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