Brunnian local moves of knots and Vassiliev invariants

2004/12/24 by Akira Yasuhara, Yasuhara, Akira
Mathematics · #57M25 #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57M25

paper · pdf · doi:10.48550/arxiv.math/0412489

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

K. Habiro gave a neccesary and sufficient condition for knots to have the same Vassiliev invariants in terms of C_k-move. In this paper we give another geometric condition in terms of Brunnian local move. The proof is simple and self-contained.

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