arXiv subjects

Brian H. Bowditch

Publications and source records attributed to Brian H. Bowditch.

2 recordsLinked to original sources

arXiv2016

The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface

Let $Σ$ be a complete finite-area orientable hyperbolic surface with one cusp, and let $\mathcal{R}$ be the space of complete geodesic rays in $Σ$ emanating from the puncture. Then there is a natural action of the mapping class group of $Σ$ on $\mathcal{R}$. We show that this action is "almost everywhere" wandering.

math.GT↗

arXiv2016

Projections of the sphere graph to the arc graph of a surface

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 uniformly lipschitz retraction of the sphere graph of M to the arc graph of S. We also show that this retraction is a uniformly bounded distance from the nearest point projection map.

math.GT↗