Cannon-Thurston maps for surface groups

Pages 1-80 from Volume 179 (2014), Issue 1 by Mahan Mj

Abstract

We prove the existence of Cannon-Thurston maps for simply and doubly degenerate surface Kleinian groups. As a consequence we prove that connected limit sets of finitely generated Kleinian groups are locally connected.

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Keywords
, , , , ,
DOI
https://doi.org/10.4007/annals.2014.179.1.1
MR
3126566
Zbl
06260585
Milestones
Received: 18 August 2006
Revised: 14 March 2013
Accepted: 24 April 2013
Published online: 1 January 2014

Authors

Mahan Mj

Ramakrishna Mission Vivekananda University, West Bengal, India