2024/06/05 by Natsuya Takahashi, Takahashi, Natsuya
Computer Science · Mathematics · #57K40 #57R65 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2406.03113
openalex publication_date 2024/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show the existence of a 4-manifold with boundary that admits two non-diffeomorphic minimal genus relative trisections of the same (g,k;p,b)-type. To prove this, we introduce a simple operation that produces a trisection diagram of a closed 4-manifold from a relative trisection diagram.