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On train-track splitting sequences
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Masur, Howard, Mosher, Lee and Schleimer, Saul (2012) On train-track splitting sequences. Duke Mathematical Journal, Vol.161 (No.9). pp. 1613-1656. doi:10.1215/00127094-1593344 ISSN 0012-7094.
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Official URL: http://dx.doi.org/10.1215/00127094-1593344
Abstract
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.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Duke Mathematical Journal | ||||
Publisher: | Duke University Press | ||||
ISSN: | 0012-7094 | ||||
Official Date: | 2012 | ||||
Dates: |
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Volume: | Vol.161 | ||||
Number: | No.9 | ||||
Page Range: | pp. 1613-1656 | ||||
DOI: | 10.1215/00127094-1593344 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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