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An infinite-rank summand from iterated Mazur pattern satellite knots

Geometric Topology 2024-12-23 v1

Abstract

We show there exists a topologically slice knot KK such that the knots {Mn(K)}n=0\{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.

Keywords

Cite

@article{arxiv.2010.11277,
  title  = {An infinite-rank summand from iterated Mazur pattern satellite knots},
  author = {Wenzhao Chen},
  journal= {arXiv preprint arXiv:2010.11277},
  year   = {2024}
}