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arXiv 1808.07652math.GT
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Yoshikawa第八步移动的独立性和带移动的最小生成集

Independence of Yoshikawa eighth move and a minimal generating set of band moves

Michal Jablonowski

摘要:

Yoshikawa移动至少在四分之一个世纪前被引入,并且仍然被研究人员积极使用。对于任何有标记的图,我们将定义它的扭曲图和它的镜像切面。利用扭曲图的镜像切面的面链群,我们将证明Yoshikawa第八步的独立性。因此,我们将建立一个最小生成集的带移动的链接带。

英文摘要:

Yoshikawa moves were introduced at least quarter-century ago and are still actively used by researchers. For any marked graph diagram we will define its twisted diagram and its mirror cut surface. By using a surface-link group of a mirror cut surface of a twisted diagram we will prove the independence of Yoshikawa eighth move. As a consequence we will establish a minimal generating set of band moves for links with bands.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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