3 papers
math.GT2016
The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface
Brian H. Bowditch, Makoto Sakuma
Let be a complete finite-area orientable hyperbolic surface with one cusp, and let be the space of complete geodesic rays in emanating from the puncture. Then…
math.GT2015
Projections of the sphere graph to the arc graph of a surface
Brian H. Bowditch, Francesca Iezzi
Let S be a compact surface, and M be the double of a handlebody. Given a homotopy class of maps from S to M inducing an isomorphism of fundamental groups, we describe a canonical u…
math.GR1998
Boundaries of strongly accessible hyperbolic groups
B. H. Bowditch
We consider splittings of groups over finite and two-ended subgroups. We study the combinatorics of such splittings using generalisations of Whitehead graphs. In the case of hyperb…