Surveys in Differential Geometry

Volume 25 (2020)

Cannon–Thurston maps in Kleinian groups and geometric group theory

Pages: 281 – 318



Mahan Mj (School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India)


We give a survey account of Cannon–Thurston maps, both in the original context of Kleinian groups, as well as in the more general context of Geometric Group Theory. Some of the principal applications are mentioned.

2010 Mathematics Subject Classification

20F65, 20F67, 20H10, 30F40, 57M50

Research partly supported by a DST JC Bose Fellowship.

Published 13 July 2022