Abstract
We begin an investigation into the behavior of Bowditch and Gromov boundaries under the operation of Dehn filling. In particular, we show many Dehn fillings of a toral relatively hyperbolic group with –sphere boundary are hyperbolic with –sphere boundary. As an application, we show that the Cannon conjecture implies a relatively hyperbolic version of the Cannon conjecture.
Citation
Daniel Groves. Jason Fox Manning. Alessandro Sisto. "Boundaries of Dehn fillings." Geom. Topol. 23 (6) 2929 - 3002, 2019. https://doi.org/10.2140/gt.2019.23.2929
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