(Non-)existence of Cannon-Thurston maps for Morse boundaries

Ruth Charney; Matthew Cordes; Antoine Goldsborough; Alessandro Sisto; Stefanie Zbinden

(Non-)existence of Cannon-Thurston maps for Morse boundaries

Geometric Topology 2024-11-20 v2 Group Theory

Authors: Ruth Charney , Matthew Cordes , Antoine Goldsborough , Alessandro Sisto , Stefanie Zbinden

Abstract

We show that the Morse boundary exhibits interesting examples of both the existence and non-existence of Cannon-Thurston maps for normal subgroups, in contrast with the hyperbolic case.

Keywords

Morse boundary Cannon-Thurston map normal subgroups hyperbolic groups

Cite

@article{arxiv.2405.17572,
  title  = {(Non-)existence of Cannon-Thurston maps for Morse boundaries},
  author = {Ruth Charney and Matthew Cordes and Antoine Goldsborough and Alessandro Sisto and Stefanie Zbinden},
  journal= {arXiv preprint arXiv:2405.17572},
  year   = {2024}
}

Comments

7 pages, arguments streamlined and minor edits, accepted to Bulletin of the LMS

(Non-)existence of Cannon-Thurston maps for Morse boundaries

Abstract

Keywords

Cite

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