Addendum to Ending Laminations and Cannon-Thurston Maps: Parabolics

Shubhabrata Das; Mahan Mj

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arXiv · 1002.2090

Addendum to Ending Laminations and Cannon-Thurston Maps: Parabolics

Shubhabrata Das·Mahan Mj

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Abstract

In earlier work, we had shown that Cannon-Thurston maps exist for Kleinian punctured surface groups without accidental parabolics. In this note 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. This extends earlier work done for closed surface groups.

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Shubhabrata Das, Mahan Mj. 2010-02-10. Addendum to Ending Laminations and Cannon-Thurston Maps: Parabolics. https://arxiv.org/abs/1002.2090

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