The link volume of 3–manifolds

2012/05/07 by Yo'av Rieck, Yo’av Rieck, Yasushi Yamashita · 4 citations
Mathematics · #3-manifold #Advanced Combinatorial Mathematics #Bounded function #Combinatorics #Conjecture #Covering space #Curvature #Geometric and Algebraic Topology #Geometry #Hermitian manifold #Hyperbolic 3-manifold #Hyperbolic function #Hyperbolic group #Hyperbolic manifold #Hyperbolic set #Infimum and supremum #Invariant (physics) #Link (geometry) #Manifold (fluid mechanics) #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Relatively hyperbolic group #Ricci curvature #Volume form #math.GT #msc:57M12 #msc:57M50

paper · pdf · doi:10.2140/agt.2013.13.927

published in Algebraic & Geometric Topology 13(2), 927-958 (Mathematical Sciences Publishers) · 27 pages, several color figures (viewable in black and white)

arxiv created 2012/05/07 · openalex publication_date 2013/04/05 · arxiv updated 2014/09/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The link volume of

Citations

• Lectures on Hyperbolic Geometry
• Reducing heegaard splittings
• The orientable cusped hyperbolic 3-manifolds of minimum volume
• An Introduction to Knot Theory
• Affine Structures in 3-Manifolds: V. The Triangulation Theorem and Hauptvermutung