Primitive stability and Bowditch's BQ-condition are equivalent

Caroline Series

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arXiv · 1901.01396

Primitive stability and Bowditch's BQ-condition are equivalent

Caroline Series

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Abstract

We prove the equivalence of two conditions on the primitive elements in an $SL(2,\mathbb C)$ representation of the free group $F_2$ on two generators, which may hold even when the image of $F_2$ is not discrete. One is Minsky's condition of primitive stability and the other is the $BQ$-condition introduced by Bowditch and generalised by Tan, Wong and Zhang.

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Caroline Series. 2019-01-05. Primitive stability and Bowditch's BQ-condition are equivalent. https://arxiv.org/abs/1901.01396

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