An infinite-rank summand from iterated Mazur pattern satellite knots
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866916534350249984 |
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| author | Chen, Wenzhao |
| author_facet | Chen, Wenzhao |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_11277 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | An infinite-rank summand from iterated Mazur pattern satellite knots Chen, Wenzhao Geometric Topology 57K10, 57K18 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. |
| title | An infinite-rank summand from iterated Mazur pattern satellite knots |
| topic | Geometric Topology 57K10, 57K18 |
| url | https://arxiv.org/abs/2010.11277 |