An infinite-rank summand from iterated Mazur pattern satellite knots


Abstract in English

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.

Download