Eprint already available on another site (E-prints, Working papers and Research blog)
CARRIER GRAPHS FOR REPRESENTATIONS OF THE RANK TWO FREE GROUP INTO ISOMETRIES OF HYPERBOLIC THREE SPACE
Tan, Ser Peow; XU, Binbin
2018
 

Files


Full Text
carrier_graph.pdf
Author preprint (878.12 kB)
Download

All documents in ORBilu are protected by a user license.

Send to



Details



Abstract :
[en] Carrier graphs were first introduced for closed hyperbolic 3-manifolds by White. In this paper, we first generalize this definition to carrier graphs for representations of a rank two free group into the isometry group of hyperbolic three space. Then we prove the existence and the finiteness of minimal carrier graphs for those representations which are discrete, faithful and geometrically finite, and more generally, those that satisfy certain finiteness conditions first introduced by Bowditch.
Disciplines :
Mathematics
Author, co-author :
Tan, Ser Peow;  National University of Singapore > Mathematics
XU, Binbin ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
CARRIER GRAPHS FOR REPRESENTATIONS OF THE RANK TWO FREE GROUP INTO ISOMETRIES OF HYPERBOLIC THREE SPACE
Publication date :
19 July 2018
Number of pages :
50
Available on ORBilu :
since 06 March 2019

Statistics


Number of views
82 (3 by Unilu)
Number of downloads
53 (2 by Unilu)

Bibliography


Similar publications



Contact ORBilu