Braid presentation of virtual knots and welded knots
Braid presentation of virtual knots and welded knots
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发表时间：
2000
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影响因子：
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通讯作者：
R. Fenn;Richárd Rimányi;C. Rourke
中科院分区：
文献类型：
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作者：
R. Fenn;Richárd Rimányi;C. Rourke
虚结是由L.考夫曼，这是一个推广的经典纽结和链接。它们引出了虚编织的概念，它与R.芬河Rimányi和C.洛克证明了任何虚纽结都是虚辫模某些基本移动的闭包。这类似于经典结和辫子的亚历山大和马尔可夫定理。对于焊接结和编织物也证明了类似的结果数学科目分类：小学57M25。
Virtual knots were first introduced by L. Kauffman, which are a generalization of classical knots and links. They lead us to the notion of virtual braids, which are closely related with welded braids of R. Fenn, R. Rimányi and C. Rourke. It is proved that any virtual knot is uniquely described as the closure of a virtual braid modulo certain basic moves. This is analogous to the Alexander and Markov theorem for classical knots and braids. A similar result is proved for welded knots and braids Mathematics Subject Classification: Primary 57M25.