Neighborhood equivalence for multibranched surfaces in 3-manifolds

2018/06/23 by Kai Ishihara, Yuya Koda, Ishihara, Kai +5
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1806.08919

openalex publication_date 2018/06/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A multibranched surface is a 2-dimensional polyhedron without vertices. We introduce moves for multibranched surfaces embedded in a 3-manifold, which connect any two multibranched surfaces with the same regular neighborhoods in finitely many steps.

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