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 2–sphere boundary are hyperbolic with 2– sphere boundary. As an application, we show that the Cannon conjecture implies a relatively hyperbolic version of the Cannon conjecture.
| Original language | English |
|---|---|
| Pages (from-to) | 2929-3002 |
| Number of pages | 74 |
| Journal | Geometry and Topology |
| Volume | 23 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Dec 2019 |
ASJC Scopus subject areas
- Geometry and Topology
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Dive into the research topics of 'Boundaries of Dehn fillings'. Together they form a unique fingerprint.Profiles
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Alessandro Sisto
- School of Mathematical & Computer Sciences - Associate Professor
- School of Mathematical & Computer Sciences, Mathematics - Associate Professor
Person: Academic (Research & Teaching)