Slice knots and knot concordance

Arunima Ray

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arXiv · 2311.12168

Slice knots and knot concordance

Arunima Ray

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Abstract

These notes were prepared to accompany a sequence of three lectures at the conference Winterbraids XI in Dijon, held in December 2021. In them, we provide an introduction to slice knots and the equivalence relation of concordance. We explain some connections between slice knots and exotic smooth structures on $\mathbb{R}^4$. We also introduce filtrations of the knot concordance groups and satellite operations.

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BibTeX RIS

Arunima Ray. 2023-11-20. Slice knots and knot concordance. https://arxiv.org/abs/2311.12168

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