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 there is a natural action of the mapping class group of on . We show that this action is "almost everywhere" wandering.
Cite this article
Brian H. Bowditch, Makoto Sakuma, The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface. Groups Geom. Dyn. 12 (2018), no. 2, pp. 703–719DOI 10.4171/GGD/453