论文标题

迭代的Mazur模式卫星结的无限级汇总

An infinite-rank summand from iterated Mazur pattern satellite knots

论文作者

Chen, Wenzhao

论文摘要

我们显示存在拓扑结的$ k $,使得$ \ {m^n(k)\} _ {n = 0}^\ infty $由Mazur Pattern由Mazur Pattern通过迭代的卫星操作获得,跨越了平稳结的无限级 - 平滑结的无限共和国。这回答了Feller-Park-Ray提出的一个问题。

We show there exists a topologically slice knot $K$ such that the knots $\{M^n(K)\}_{n=0}^\infty$ obtained by iterated satellite operations by the Mazur pattern span an infinite-rank summand of the smooth knot concordance group. This answers a question raised by Feller-Park-Ray.

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