Fibrations on Handlebodies

Jesús Hernández Hernández; Christopher J. Leininger; Ferrán Valdez

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arXiv · 2508.02897

Fibrations on Handlebodies

Jesús Hernández Hernández·Christopher J. Leininger·Ferrán Valdez

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Abstract

We show that the open genus 2 handlebody admits uncountably-many fibrations over the circle with fiber homeomorphic to the Cantor tree surface with non-conjugate monodromies in the mapping class group. The construction generalizes to produce uncountably many fibrations of other tame 3-manifolds with infinite type fibers, including the blooming Cantor tree and many other types of surfaces.

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BibTeX RIS

Jesús Hernández Hernández, Christopher J. Leininger, Ferrán Valdez. 2025-08-04. Fibrations on Handlebodies. https://arxiv.org/abs/2508.02897

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