2006/04/05 by Ryan Derby-Talbot, Derby-Talbot, Ryan
Mathematics · #57M99 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M99
paper · pdf · doi:10.48550/arxiv.math/0604116
53 pages, 37 figures
arxiv created 2006/04/05 · openalex publication_date 2006/04/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that after one stabilization, a strongly irreducible Heegaard splitting of suitably large genus of a graph manifold is isotopic to an amalgamation along a modified version of the system of canonical tori in the JSJ decomposition. As a corollary, two strongly irreducible Heegaard splittings of a graph manifold of suitably large genus are isotopic after at most one stabilization of the higher genus splitting.