Cannon-Thurston Maps

2017/12/03 by Mj, Mahan · 2 citations
#20F65 #20F67 (Secondary) #30F40 (Primary) #57M50 #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1712.00760

Abstract

We give an overview of the theory of Cannon-Thurston maps which forms one of the links between the complex analytic and hyperbolic geometric study of Kleinian groups. We also briefly sketch connections to hyperbolic subgroups of hyperbolic groups and end with some open questions.

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• Random Trees in Hyperbolic FPP
• Algebraic correspondences and Schwarz reflections: Where rational dynamics meets Kleinian groups

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