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arXiv · 2010.11277

An infinite-rank summand from iterated Mazur pattern satellite knots

Wenzhao Chen
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Abstract

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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Wenzhao Chen. 2020-10-21. An infinite-rank summand from iterated Mazur pattern satellite knots. https://doi.org/10.4310/jsg.241021224138

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