Bowditch, B. H. and Sakuma, Makoto (2018) The action of the mapping class group on the space of geodesic rays of a punctured hyperbolic surface. Groups, Geometry, and Dynamics, 12 (2). pp. 703-719. doi:10.4171/GGD/453 ISSN 1661-7215.

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Abstract

Let Σ be a complete finite-area orientable hyperbolic surface with one cusp, and let 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 R. We show that this action is "almost everywhere" wandering.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH):	Geodesics (Mathematics), Hyperbolic groups
Journal or Publication Title:	Groups, Geometry, and Dynamics
Publisher:	European Mathematical Society
ISSN:	1661-7215
Official Date:	2018
Dates:	Date Event 2018 Published 4 June 2018 Available 31 December 2017 Accepted
Volume:	12
Number:	2
Page Range:	pp. 703-719
DOI:	10.4171/GGD/453
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Date of first compliant deposit:	4 January 2018
Date of first compliant Open Access:	6 June 2018
RIOXX Funder/Project Grant:	Project/Grant ID RIOXX Funder Name Funder ID 15H03620 Japan Society for the Promotion of Science http://dx.doi.org/10.13039/501100001691
Related URLs:	Publisher

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