Bowditch, B. H. (Brian Hayward), 1961- (2010) Train tracks and surface groups acting on hyperbolic spaces. Coventry: University of Warwick. (Unpublished)

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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
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Publisher:	University of Warwick
Place of Publication:	Coventry
Date:	2010
Number of Pages:	29
Status:	Not Peer Reviewed
Publication Status:	Unpublished
Access rights to Published version:	Open Access
Description:	Preprint
Related URLs:	Publisher
URI:	http://wrap.warwick.ac.uk/id/eprint/48810

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