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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. 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 |
|---|---|
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Duke Mathematical Journal |
| Publisher: | Duke University Press |
| ISSN: | 0012-7094 |
| Date: | 2012 |
| Volume: | Vol.161 |
| Number: | No.9 |
| Page Range: | pp. 1613-1656 |
| Identification Number: | 10.1215/00127094-1593344 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/48027 |
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