Discontinuous motions of limit sets

Mahan Mj; Ken’ichi Ohshika

doi:10.2140/agt.2021.21.3401

Abstract

We characterise completely when limit sets, as parametrised by Cannon–Thurston maps, move discontinuously for a sequence of algebraically convergent quasi-Fuchsian groups.

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Mahan Mj. Ken’ichi Ohshika. "Discontinuous motions of limit sets." Algebr. Geom. Topol. 21 (7) 3401 - 3444, 2021. https://doi.org/10.2140/agt.2021.21.3401

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Received: 5 December 2019; Revised: 15 October 2020; Accepted: 22 December 2020; Published: 2021

First available in Project Euclid: 11 March 2022

MathSciNet: MR4357608

zbMATH: 1482.57023

Digital Object Identifier: 10.2140/agt.2021.21.3401

Subjects:

Primary: 57M50

Keywords: algebraic and geometric limits , Cannon–Thurston map , degenerate end , Kleinian group , model geometry

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