Ending Laminations and Cannon–Thurston Maps
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In earlier work, we had shown that Cannon–Thurston maps exist for Kleinian surface groups without accidental parabolics. In this paper we prove that pre-images of points are precisely end-points of leaves of the ending lamination whenever the Cannon–Thurston map is not one-to-one.
Mathematics Subject Classification (1991)57M50 20F67 (Primary) 20F65 22E40 (Secondary)
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