Many Haken Heegaard splittings

DOI10.1142/S1793525319500535zbMath1472.57021arXiv1611.00066WikidataQ129353739 ScholiaQ129353739MaRDI QIDQ5115621

Alessandro Sisto

Publication date: 17 August 2020

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.00066

zbMATH Keywords

Heegaard splittingsHaken manifoldscurve complex graph

Mathematics Subject Classification ID

Hyperbolic 3-manifolds (57K32) General topology of 3-manifolds (57K30)

Cites Work

• Uniform hyperbolicity of the graphs of curves
• Uniform hyperbolicity of the curve graphs
• Uniform hyperbolicity of the curve graph via surgery sequences
• Heegaard splittings with large subsurface distances
• Uniform bounds for bounded geodesic image theorems
• Casson invariant, signature defect of framed manifolds and the secondary characteristic classes of surface bundles
• Geometry of the complex of curves. II: Hierarchical structure
• Geometry of the complex of curves. I: Hyperbolicity
• A note on acylindrical hyperbolicity of mapping class groups
• 1-slim triangles and uniform hyperbolicity for arc graphs and curve graphs
• Heegaard splittings of distance exactly \(n\)
• High distance knots
• High distance Heegaard splittings of 3-manifolds
• Random methods in 3-manifold theory
• A recipe for short-word pseudo-Anosovs
• The geometry of the disk complex
• 3-manifolds as viewed from the curve complex

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