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Type: Article
Fibrations of handlebodies
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 -manifolds with infinite type fibers, including the blooming Cantor tree and many other types of surfaces.
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 -manifolds with infinite type fibers, including the blooming Cantor tree and many other types of surfaces.
MSC: 57M50 (37E30 57K20)
Journal: International Mathematics Research Notices. IMRN
ISSN: 1687-0247
Year: 2026
Volume: 2026
Number: 15
Pages: Paper No. rnag 168
MR Number: 5112876
Revision: 1
DOI: 10.1093/imrn/rnag168
Notas: Web of Science: Q2 Scimago: Q1 OUP (Reino Unido). This work was supported by the Universidad Nacional Autónoma de México [PAPIIT IN114323 to J.H.H.,
PAPIIT IN101422 to J.H.H. and F.V., PAPIIT IN106925 to F.V.]; and the National Science Foundation [DMS-
2305286 to C.J.L.]
Created: 2026-09-23 10:47:40
Modified: 2026-09-23 10:48:46
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