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math.GTApr 1, 2019
1
citations (OpenAlex)
authors
  • Sebastian Hensel
  • Dawid Kielak
institutions
  • Bielefeld University
  • Ludwig-Maximilians-Universität München
  • University of Oxford
arXiv abstractPDF
paper

Handlebody Bundles and Polytopes

arXiv:1904.08813 · doi:10.2140/agt.2021.21.3445

Abstract

We construct examples of fibered three-manifolds with first Betti number at least 2 and with fibered faces all of whose monodromies extend to a handlebody.

arXiv comment12 pages, no figures

References in corpus (7)

  • The co-rank conjecture for 3-manifold groups
  • Dynamics on free-by-cyclic groups
  • Alexander and Thurston norms, and the Bieri-Neumann-Strebel invariants for free-by-cyclic groups
  • The Bieri-Neumann-Strebel invariants via Newton polytopes
  • Universal L2-torsion, polytopes and applications to 3-manifolds
  • Irreducibility of a Free Group Endomorphism is a Mapping Torus Invariant
  • The agrarian polytope of two-generator one-relator groups
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