论文标题

结的色带一致性是部分顺序

Ribbon concordance of knots is a partial order

论文作者

Agol, Ian

论文摘要

在本说明中,我们表明功能区和协和在一组结上形成了部分顺序,回答了戈登的问题。证明利用结组的表示形式为$ so(n)$,以及由色带一致性引起的它们之间的关系。

In this note we show that ribbon concordance forms a partial ordering on the set of knots, answering a question of Gordon. The proof makes use of representation varieties of the knot groups to $SO(N)$ and relations between them induced by a ribbon concordance.

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