3-Manifolds as viewed from the curve complex

2001/05/01 by John Hempel · 13 citations
Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.1016/s0040-9383(00)00033-1

crossref issued 2001/05/01 · crossref published 2001/05/01 · crossref published-print 2001/05/01 · openalex publication_date 2001/05/01 · crossref created 2002/07/25 · crossref deposited 2019/04/28 · openalex created_date 2025/10/10 · crossref indexed 2026/07/30 · openalex updated_date 2026/08/02

Citations

• A presentation for the mapping class group of a closed orientable surface

Cited by

• On keen Heegaard splittings
• Mapping class groups of medium distance Heegaard splittings
• Estimating distances in simplicial complexes with applications to 3-manifolds and handlebody-knots
• An upper bound on distance degenerate handle additions
• Comparing h-genera, Bridge-1 genera and Heegaard genera of knots
• Horizontal Dehn surgery and genericity in the curve complex
• Asymptotic geometry of the mapping class group and Teichmüller space
• Three-manifold mutations detected by Heegaard Floer homology
• Random Heegaard splittings
• (Disk, Essential surface) pairs of Heegaard splittings that intersect in one point
• Small intersection numbers in the curve graph
• Heegaard surfaces and the distance of amalgamation
• Positive diagrams for Seifert fibered spaces
• Covers and the curve complex