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1. Classification of parabolic generating pairs of Kleinian groups with two parabolic generators

Author

Aimi, Shunsuke, Lee, Donghi, Sakai, Shunsuke, and Sakuma, Makoto

Subjects
Mathematics - Geometric Topology, 57M50, 57M25
Abstract

We give an alternative proof to Agol's classification of parabolic generating pairs of non-free Kleinian groups generated by two parabolic transformations. As an application, we give a complete characterisation of epimorphims between $2$-bridge knot groups and a complete characterisation of degree one maps between the exteriors of hyperbolic $2$-bridge links., Comment: 28 pages, 9 figures

Published
2020

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