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Symmetries of spatial graphs and Simon invariants

2007/08/31 by Ryo Nikkuni, Kouki Taniyama · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #Combinatorics #Component (thermodynamics) #Computational Geometry and Mesh Generation #Connective tissue disorders research #Geometric and Algebraic Topology #Geometry #Homogeneous space #Link (geometry) #Mathematics #Orientation (vector space) #Physics #Pure mathematics #Quantum mechanics #math.GT #msc:57M15 #msc:57M25

paper · pdf · doi:10.4064/fm205-3-2

published as Fund. Math. 205 (2009), 219--236 · 16 pages, 14 figures

openalex publication_date 2009/01/01 · arxiv created 2009/10/14 · arxiv updated 2020/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An ordered and oriented 2-component link L in the 3-sphere is said to be achiral if it is ambient isotopic to its mirror image ignoring the orientation and ordering of the components. Kirk–Livingston showed that if L is achiral then the link

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