Groups acting on veering pairs and Kleinian groups

Hyungryul Baik; Hongtaek Jung; KyeongRo Kim

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arXiv · 2206.10874

Groups acting on veering pairs and Kleinian groups

Hyungryul Baik·Hongtaek Jung·KyeongRo Kim

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Abstract

We show that some laminar group which has an invariant veering pair of laminations is a hyperbolic 3-orbifold group. On the way, we show that from a veering pair of laminations, one can construct a loom space (in the sense of Schleimer-Segerman) as a quotient. Our approach does not assume the existence of any 3-manifold to begin with so this is a geometrization-type result, and supersedes some of the results regarding the relation among veering triangulations, pseudo-Anosov flows, taut foliations in the literature.

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BibTeX RIS

Hyungryul Baik, Hongtaek Jung, KyeongRo Kim. 2022-06-22. Groups acting on veering pairs and Kleinian groups. https://arxiv.org/abs/2206.10874

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