Resumen de Knot reversal acts non-trivially on the concordance group of topologically slice knots

Taehee Kim, Charles Livingston

• We construct an infinite family of topologically slice knots that are not smoothly concordant to their reverses. More precisely, if T denotes the concordance group of topologically slice knots and ρ is the involution of T induced by string reversal, then T/Fix(ρ) contains an infinitely generated free subgroup. The result remains true modulo the subgroup of T generated by knots with trivial Alexander polynomial.