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arXiv 1102.1473math.GTmath.QA
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Bikei、Involutory Biracks和无向链接不变量

Bikei, Involutory Biracks and unoriented link invariants

Sinan Aksoy, Sam Nelson

摘要:

我们确定了一个子类的biracks定义计数不变量的无方向的链接,我们称之为对合biracks。特别是,birack秩N=1的对合birack是biquandles,我们称之为bikei。我们定义计数不变量的无方向的经典和虚拟的链接使用有限对合birack,我们给出了一个例子的非对合birack的计数不变量检测的不可逆性的虚拟结。

英文摘要:

We identify a subcategory of biracks which define counting invariants of unoriented links, which we call involutory biracks. In particular, involutory biracks of birack rank N=1 are biquandles, which we call bikei. We define counting invariants of unoriented classical and virtual links using finite involutory biracks, and we give an example of a non-involutory birack whose counting invariant detects the non-invertibility of a virtual knot.

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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