Combination Theorems in Groups, Geometry and Dynamics

Mahan Mj () and Sabyasachi Mukherjee ()
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Mahan Mj: School of Mathematics, Tata Institute of Fundamental Research
Sabyasachi Mukherjee: School of Mathematics, Tata Institute of Fundamental Research

Chapter Chapter 10 in In the Tradition of Thurston II, 2022, pp 331-383 from Springer

Abstract: Abstract The aim of this chapter is to give a survey of combination theorems occurring in hyperbolic geometry, geometric group theory and complex dynamics, with a particular focus on Thurston’s contribution and influence in the field.

Keywords: Kleinian group; Hyperbolic group; Flaring; Holomorphic mating; Simultaneous uniformization; Double limit theorem; 20F65; 20F67; 37F10; 37F32; 30F60; 30F40; 57M50 (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-97560-9_10

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DOI: 10.1007/978-3-030-97560-9_10

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