结的缎带一致性是一种部分排序

Communications of the American Mathematical Society Pub Date : 2022-01-10 DOI:10.1090/cams/15

I. Agol

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引用次数: 13

摘要

在这篇笔记中，我们证明了丝带的一致性在结的集合上形成了偏序，回答了Gordon[数学]的一个问题。Ann. 257 (1981)， pp 157-170，猜想1.1]。证明利用代表品种的结组S O (N) (N)和subquotient引起一个丝带和谐之间的关系。

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Ribbon concordance of knots is a partial ordering

In this note we show that ribbon concordance forms a partial ordering on the set of knots, answering a question of Gordon [Math. Ann. 257 (1981), pp. 157–170, Conjecture 1.1]. The proof makes use of representation varieties of the knot groups to S O ( N ) SO(N) and the subquotient relation between them induced by a ribbon concordance.

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Communications of the American Mathematical Society

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