论文标题

稳定的4加元素的下限

A lower bound on the stable 4-genus of knots

论文作者

Iltgen, Damian

论文摘要

我们在基于卡森 - 戈登$τ$ - 签名的结节上呈现一个稳定的$ 4 $属的结构。我们为无限结的扭曲结,扭曲结的下限计算,并在且仅当它消失了稳定的$ 4 $ genus时,就表明扭曲结是结的扭曲。

We present a lower bound on the stable $4$-genus of a knot based on Casson-Gordon $τ$-signatures. We compute the lower bound for an infinite family of knots, the twist knots, and show that a twist knot is torsion in the knot concordance group if and only if it has vanishing stable $4$-genus.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源