Fibrations on Handlebodies
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909721933381632 |
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| author | Hernández, Jesús Hernández Leininger, Christopher J. Valdez, Ferrán |
| author_facet | Hernández, Jesús Hernández Leininger, Christopher J. Valdez, Ferrán |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_02897 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fibrations on Handlebodies Hernández, Jesús Hernández Leininger, Christopher J. Valdez, Ferrán Geometric Topology 57M50, 57K20 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. |
| title | Fibrations on Handlebodies |
| topic | Geometric Topology 57M50, 57K20 |
| url | https://arxiv.org/abs/2508.02897 |