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Train tracks and surface groups acting on hyperbolic spaces
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Bowditch, B. H. (2010) Train tracks and surface groups acting on hyperbolic spaces. Coventry: University of Warwick. (Unpublished)
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Official URL: http://homepages.warwick.ac.uk/~masgak/papers/bhb-...
Abstract
Let Sigma be a compact orientable surface. Suppose that its fundamental group acts on a Gromov hyperbolic space with hausdorff quotient M. Given any multicurve in Sigma, we can define a shortest realisation in M. Under certain assumptions of the action, we show that such a realisation is supported, up to bounded distance, by a train track realised in M. One purpose of this is to show that certain results in the geometry of hyperbolic 3-manifolds generalise to this context.
Item Type: | Scholarly Text | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Publisher: | University of Warwick | ||||
Place of Publication: | Coventry | ||||
Official Date: | 2010 | ||||
Dates: |
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Number of Pages: | 29 | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Unpublished | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Description: | Preprint |
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