Combination Theorems in Groups, Geometry and Dynamics
Mahan Mj, Sabyasachi Mukherjee
TL;DR
This survey explores combination theorems across hyperbolic geometry, geometric group theory, and complex dynamics, emphasizing Thurston's influential contributions and their impact on the field.
Contribution
It provides a comprehensive overview of combination theorems with a focus on Thurston's work and its significance in multiple mathematical disciplines.
Findings
Thurston's combination theorems revolutionized hyperbolic geometry.
The survey highlights key applications in geometric group theory.
Influence of Thurston's ideas extends to complex dynamics.
Abstract
The aim of this article 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.
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Taxonomy
TopicsMathematical Dynamics and Fractals