2015/09/19 by Tobias Colding, Tobias Holck Colding, David Gabai +1
Engineering · Mathematics · #Combinatorics #Engineering #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Heegaard splitting #Isotopy #Manifold (fluid mechanics) #Mathematical Dynamics and Fractals #Mathematics #Pure mathematics #math.DG #math.GT
paper · pdf · doi:10.1215/00127094-2018-0023
published as Duke Math. J. 167, no. 15 (2018), 2833-2856
arxiv created 2015/09/19 · openalex publication_date 2018/10/03 · arxiv updated 2018/11/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The long-standing classification problem in the theory of Heegaard splittings of 3-manifolds is to exhibit for each closed 3-manifold a complete list, without duplication, of all its irreducible Heegaard surfaces, up to isotopy. We solve this problem for non-Haken hyperbolic 3-manifolds.