Clasp-pass moves on knots, links and spatial graphs
type: Item
instance of: scholarly article
title: Clasp-pass moves on knots, links and spatial graphs
zbMATH Open document ID: 1001.57011
DOI: 10.1016/S0166-8641(01)00189-4
author: Kouki Taniyama
author: Akira Yasuhara
published in: Topology and its Applications
publication date: 2002-08-22T00:00:00Z
review text: The authors consider clasp-pass moves, which are local moves on oriented links and spatial graphs. The graphs here are considered topologically, i.e. they are regarded as 1-simplicial complexes. The authors extend Habiro's result which states a necessary and sufficient condition for two knots to be transformed into each other by clasp-pass moves as having the same second coefficient of the Conway polynomial. They extend it to two-component links, three-component links, algebraically split links and spatial embeddings of a planar graph that does not contain disjoint cycles. They classify those in terms of linking numbers, the Arf invariant, the Milnor \(\mu\)-invariant and the second coefficient of the Conway polynomial.
Mathematics Subject Classification ID: 57M25
Mathematics Subject Classification ID: 57M15
zbMATH DE Number: 1787582
zbMATH Keywords: clasp-pass equivalence
zbMATH Keywords: local moves
reviewed by: Ismail Naci Cangül
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1787582