论文标题

交替链接的参与

Involutions of alternating links

论文作者

Boyle, Keegan

论文摘要

令$ l $为$ s^3 $中的交替质量非分类链接。我们使用$ l $减少的交替图之间的飞行类别来对$ l $进行分类。结果,我们表明交替的周期性链接的商交替,并且所有自由的2个周期交替链接都有均匀数量的组件。

Let $L$ be an alternating prime non-split link in $S^3$. We use the category of flypes between reduced alternating diagrams for $L$ to classify involutions on $L$. As consequences, we show that the quotient of an alternating periodic link is alternating, and that all freely 2-periodic alternating links have an even number of components.

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