On Train Track Splitting Sequences
نویسنده
چکیده
We present a structure theorem for the subsurface projections of train track splitting sequences. For the proof we introduce induced tracks, efficient position, and wide curves. As a consequence of the structure theorem we prove that train track sliding and splitting sequences give quasi-geodesics in the train track graph; this generalizes a result of Hamenstädt [Invent. Math.].
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