On groups with $S^2$ Bowditch boundary

Bena Tshishiku; Genevieve Walsh

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arXiv · 1710.09018

On groups with $S^2$ Bowditch boundary

Bena Tshishiku·Genevieve Walsh

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Abstract

We prove that a relatively hyperbolic pair $(G,P)$ has Bowditch boundary a 2-sphere if and only if it is a 3-dimensional Poincare duality pair. We prove this by studying the relationship between the Bowditch and Dahmani boundaries of relatively hyperbolic groups.

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Bena Tshishiku, Genevieve Walsh. 2017-10-24. On groups with $S^2$ Bowditch boundary. https://arxiv.org/abs/1710.09018

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