Train tracks and surface groups acting on hyperbolic spaces
Bowditch, B. H. (2010) Train tracks and surface groups acting on hyperbolic spaces. Coventry: University of Warwick. (Unpublished)Full text not available from this repository.
Official URL: http://homepages.warwick.ac.uk/~masgak/papers/bhb-...
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|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science > Mathematics|
|Publisher:||University of Warwick|
|Place of Publication:||Coventry|
|Number of Pages:||29|
|Status:||Not Peer Reviewed|
|Access rights to Published version:||Open Access|
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