2022/10/06 by Thomas Kindred, Kindred, Thomas
Computer Science · Mathematics · #57K12 #57K30 #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometric and Algebraic Topology
paper · pdf · doi:10.48550/arxiv.2210.03218
openalex publication_date 2022/10/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let D be a cellular alternating link diagram on a closed orientable surface Σ. We prove that if D has no removable nugatory crossings then each checkerboard surface from D is π1-essential and contains no essential closed curve that is ∂-parallel in Σ× I. Our chief motivation comes from technical aspects of a companion paper, where we prove that Tait's flyping conjecture holds for alternating virtual links. We also describe possible applications via Turaev surfaces.