Examples of unstabilized critical Heegaard surfaces

2010/05/06 by Jung Hoon Lee, Lee, Jung Hoon
Mathematics · #57M50 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #math.GT #msc:57M50

paper · pdf · doi:10.48550/arxiv.1005.0974

5 pages, 2 figures

arxiv created 2010/05/06 · openalex publication_date 2010/05/06 · arxiv updated 2010/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the standard minimal genus Heegaard splitting of (closed orientable surface)× S¹ is a critical Heegaard splitting.

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