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

Brian H. Bowditch; Makoto Sakuma

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arXiv · 1608.03009

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

Brian H. Bowditch·Makoto Sakuma

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Abstract

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

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BibTeX RIS

Brian H. Bowditch, Makoto Sakuma. 2016-08-10. The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface. https://arxiv.org/abs/1608.03009

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