Semiconjugacies Between Relatively Hyperbolic Boundaries
classification
🧮 math.GT
math.GR
keywords
mapsawayboundariesboundarycannon-thurstoncorrespondingcuspsdescribe
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We prove the existence of Cannon-Thurston maps for Kleinian groups corresponding to pared manifolds whose boundary is incompressible away from cusps. We also describe the structure of these maps in terms of ending laminations.
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