Slice knots and knot concordance
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909197241679872 |
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| author | Ray, Arunima |
| author_facet | Ray, Arunima |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_12168 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Slice knots and knot concordance Ray, Arunima Geometric Topology 57K10, 57N70, 57R40 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. |
| title | Slice knots and knot concordance |
| topic | Geometric Topology 57K10, 57N70, 57R40 |
| url | https://arxiv.org/abs/2311.12168 |