Strong cylindricality and the monodromy of bundles

DOI10.1090/S0002-9939-2015-12473-2zbMath1323.57012arXiv1309.3165MaRDI QIDQ5246944

Tsuyoshi Kobayashi, Yo'av Rieck, Kazuhiro Ichihara

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3165

zbMATH Keywords

monodromyhyperbolic manifoldessential surfacecylindrical surfacetranslation distancefiber manifoldtame 3-manifold

Mathematics Subject Classification ID

General low-dimensional topology (57M99) General geometric structures on low-dimensional manifolds (57M50) Topology of vector bundles and fiber bundles (57R22)

Cites Work

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• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• An algorithm to decide if a 3-manifold is a Haken manifold
• Surface bundles versus Heegaard splittings
• Research announcement: The structure of groups with a quasiconvex hierarchy.
• Acylindrical accessibility for groups
• Acylindrical surfaces in 3-manifolds
• Hyperbolic volume and Heegaard distance
• Acylindrical surfaces in 3-manifolds and knot complements
• A linear bound on the tetrahedral number of manifolds of bounded volume (after Jørgensen and Thurston)

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