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Pré-Publication, Document De Travail Année : 2023

Homoclinic Leaves, Hausdorff Limits, and Homeomorphisms

Ian Biringer
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Cyril Lecuire

Résumé

We show that except for one exceptional case, a lamination on the boundary of a 3-dimensional handlebody H is a Hausdorff limit of meridians if and only if it is commensurable to a lamination with a 'homoclinic leaf'. This is a precise version of a philosophy called Casson's Criterion, which appeared in unpublished notes of A. Casson. Applications include a characterization of when a non-minimal lamination is a Hausdorff limit of meridians, in terms of properties of its minimal components, and a related characterization of which reducible self-homeomorphisms of ∂H have powers that extend to subcompressionbodies of H.
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Dates et versions

hal-04290332 , version 1 (16-11-2023)

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  • HAL Id : hal-04290332 , version 1

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Ian Biringer, Cyril Lecuire. Homoclinic Leaves, Hausdorff Limits, and Homeomorphisms. 2023. ⟨hal-04290332⟩
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