Reference : CARRIER GRAPHS FOR REPRESENTATIONS OF THE RANK TWO FREE GROUP INTO ISOMETRIES OF HYPE...
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Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/38975
CARRIER GRAPHS FOR REPRESENTATIONS OF THE RANK TWO FREE GROUP INTO ISOMETRIES OF HYPERBOLIC THREE SPACE
English
Tan, Ser Peow mailto [National University of Singapore > Mathematics]
Xu, Binbin mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
19-Jul-2018
50
No
[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.
Researchers
http://hdl.handle.net/10993/38975
https://arxiv.org/abs/1807.07277

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