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0111 · Feb 200519922001200920172026
4 results for Q-conditions

New findings on stability and Q-conditions for free group actions in hyperbolic spaces.

problem Understanding stability and Q-conditions for free group actions in hyperbolic spaces.
method Generalization of Minsky's and Bowditch's results to higher dimensions and W_3-extensible representations.
result Equivalence between primitive stability and generalized Q-conditions for F_2 in hyperbolic d-space (d >= 3).

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 200…

2018-12-11abs ↗pdf ↗

We study general representations of the free group on two generators into SL(2,C)SL(2,C), and the connection with generalized Markoff maps, following Bowditch. We show that Bowditch's Q-conditions for generalized Markoff maps are sufficient for the generalized McShane identity to hold for the corresponding representations a…

2005-02-22abs ↗pdf ↗