The complex of essential surfaces is contractible

DOI10.1016/j.topol.2021.107903zbMath1479.57041OpenAlexW3212513246MaRDI QIDQ2052586

Qilong Guo, Faze Zhang

Publication date: 26 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107903

zbMATH Keywords

simplicial complexessential surfacecontractible

Mathematics Subject Classification ID

General topology of 3-manifolds (57K30)

Cites Work

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• Topological index theory for surfaces in 3-manifolds
• The virtual cohomological dimension of the mapping class group of an orientable surface
• A presentation for the mapping class group of a closed orientable surface
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• Virtually geometrically finite mapping class groups of 3-manifolds
• The geometry of the disk complex
• 3-manifolds as viewed from the curve complex

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