论文标题

丝带辅酶作为部分顺序

Ribbon cobordisms as a partial order

论文作者

Huber, Marius

论文摘要

我们表明,色带合理同源性的概念在一组非球形$ 3 $ manifolds上产生了部分顺序,从而支持Daemi,Lidman,Vela-Vick和Wong提出的猜想。我们的证明是基于Agol最近的证据,表明缎带一致性在三个球中的一组结上产生了部分顺序。

We show that the notion of ribbon rational homology cobordism yields a partial order on the set of aspherical $3$-manifolds, thus supporting a conjecture formulated by Daemi, Lidman, Vela-Vick and Wong. Our proof is built on Agol's recent proof of the fact that ribbon concordance yields a partial order on the set of knots in the 3-sphere.

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