Realisation of bending measured laminations by Kleinian surface groups

For geometrically finite Kleinian surface groups, Bonahon and Otal proved the existence part, and partly the uniqueness part of the bending lamination conjecture. In this paper, we generalise the existence part to general Kleinian surface groups including geometrically infinite ones. We furthermore...

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Bibliographic Details
Main Authors Baba, Shinpei, Ohshika, Ken'ichi
Format Journal Article
LanguageEnglish
Published 22.06.2021
Subjects
Mathematics - Geometric Topology
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Summary:For geometrically finite Kleinian surface groups, Bonahon and Otal proved the existence part, and partly the uniqueness part of the bending lamination conjecture. In this paper, we generalise the existence part to general Kleinian surface groups including geometrically infinite ones. We furthermore prove the compactness of the set of Kleinian surface groups realising an arbitrarily fixed data of bending laminations and ending laminations. Our proof is independent of that of Bonahon and Otal.
DOI:10.48550/arxiv.2106.11564