An infinite-rank summand from iterated Mazur pattern satellite knots

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.