Reducible mapping class of the canonical Heegaard splitting in a mapping torus

DOI10.1016/j.topol.2019.03.015zbMath1417.57020OpenAlexW2924576034WikidataQ128187521 ScholiaQ128187521MaRDI QIDQ1738955

Yanqing Zou, Faze Zhang

Publication date: 24 April 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2019.03.015

zbMATH Keywords

mapping class groupmapping torustranslation length

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50)

Cites Work

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• Ranks of mapping tori via the curve complex
• Surface bundles versus Heegaard splittings
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• Unstabilized self-amalgamation of a Heegaard splitting
• Big Heegaard distance implies finite mapping class group
• The unstabilized canonical Heegaard splitting of a mapping torus
• The Classification of Heegaard Splittings for (Compact Orient Able Surface) × S¹
• The geometry of the disk complex
• MAPPING CLASS GROUPS OF HEEGAARD SPLITTINGS

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