Cannon-Thurston Maps for Surface Groups

Details Cannon-Thurston Maps for Surface Groups Cannon-Thurston Maps for Surface Groups

2006-07-20

arxiv.org/abs/math/0607509v4

Mathematics

Geometric Topology

v3: Completely rewritten following referee's comments, combining the main result of arxiv:math.GT/0512539 with the first part

Scientific paper

We prove the existence of Cannon-Thurston maps for simply and doubly
degenerate surface Kleinian groups without accidental parabolics. As a
consequence we prove that, for arbitrary finitely generated Kleinian groups,
connected limit sets are locally connected.

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