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Classification of n-component Brunnian links up to Cn-move

2004/12/24 by Haruko Aida Miyazawa, Haruko A. Miyazawa, Miyazawa, Haruko Aida +2
Computer Science · Mathematics · #57M25 #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.math/0412490

arxiv created 2004/12/24 · openalex publication_date 2004/12/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a classification of n-component links up to Cn-move. In order to prove this classification, we characterize Brunnian links, and have that a Brunnian link is ambient isotopic to a band sum of trivial link and Milnor's links.

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