Work

Groups acting on veering pairs and Kleinian groups

Year: 2024

Type: article

Abstract: We show that some subgroups of the orientation‐preserving circle homeomorphism group with invariant veering pairs of laminations are hyperbolic 3‐orbifold groups. 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.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70052

Authors: Hyungryul Baik, Hongtaek Jung, KyeongRo Kim

Institutions: Korea Advanced Institute of Science and Technology, Seoul National University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Research Foundation of Korea, Institute for Basic Science, Samsung Science and Technology Foundation

Awards: G1109134554, G1126907951, G670587537