Connectedness of Bowditch Boundary of Dehn Fillings

Ashani Dasgupta

Connectedness of Bowditch Boundary of Dehn Fillings

Group Theory 2022-09-20 v1 Geometric Topology

Authors: Ashani Dasgupta

Abstract

We study Dehn fillings of relatively hyperbolic group pairs $(\Gamma, \P)$ and the persistence of connectedness of Bowditch boundary in sufficiently long Dehn fillings. We show that the restriction of peripheral subgroups to virtually polycyclic subgroups is not needed.

Keywords

dehn fillings relatively hyperbolic groups bowditch boundary connectedness peripheral subgroups

Cite

@article{arxiv.2209.08390,
  title  = {Connectedness of Bowditch Boundary of Dehn Fillings},
  author = {Ashani Dasgupta},
  journal= {arXiv preprint arXiv:2209.08390},
  year   = {2022}
}

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9 pages

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