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

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

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.

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Bibliographische Detailangaben
Hauptverfasser: Charney, Ruth, Cordes, Matthew, Goldsborough, Antoine, Sisto, Alessandro, Zbinden, Stefanie
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Geometric Topology
Mathematics - Group Theory
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Zusammenfassung: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.
DOI:10.48550/arxiv.2405.17572