Fibrations on Handlebodies
Geometric Topology
2025-08-06 v1
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.
Keywords
Cite
@article{arxiv.2508.02897,
title = {Fibrations on Handlebodies},
author = {Jesús Hernández Hernández and Christopher J. Leininger and Ferrán Valdez},
journal= {arXiv preprint arXiv:2508.02897},
year = {2025}
}
Comments
22 pages, 11 Figures