The $(2,1)$ -cable of the figure-eight knot is not smoothly slice

IF 2.6 1区数学 Q1 MATHEMATICS

Inventiones mathematicae Pub Date : 2024-09-03 DOI:10.1007/s00222-024-01286-w

Irving Dai, Sungkyung Kang, Abhishek Mallick, JungHwan Park, Matthew Stoffregen

引用次数: 0

Abstract

We prove that the $(2,1)$-cable of the figure-eight knot is not smoothly slice by showing that its branched double cover bounds no equivariant homology ball.

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八字结的$(2,1)$缆线不是平滑切线

我们证明了八字结的$(2,1)$-缆线不是平滑切分的，因为它的分支双盖没有等变同调球的边界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Inventiones mathematicae 数学-数学

CiteScore

5.60

自引率

3.20%

发文量

审稿时长

12 months

期刊介绍： This journal is published at frequent intervals to bring out new contributions to mathematics. It is a policy of the journal to publish papers within four months of acceptance. Once a paper is accepted it goes immediately into production and no changes can be made by the author(s).