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Bowditch's Q-conditions and Minsky's primitive stability
Lee, Jaejeong; Xu, Binbin
2018
 

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Abstract :
[en] For the action of the outer automorphism group of the rank two free group on the corresponding variety of PSL(2,C) characters, two domains of discontinuity have been known to exist that are strictly larger than the set of Schottky characters. One is introduced by Bowditch in 1998 (followed by Tan, Wong and Zhang in 2008) and the other by Minsky in 2013. We prove that these two domains are equal. We then show that they are contained in the set of characters having what we call the bounded intersection property.
Disciplines :
Mathematics
Author, co-author :
Lee, Jaejeong;  Korea Institute for Advanced Study (KIAS) > Mathematics
Xu, Binbin ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Language :
English
Title :
Bowditch's Q-conditions and Minsky's primitive stability
Publication date :
11 December 2018
Number of pages :
46
Available on ORBilu :
since 05 March 2019

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