Resumen de Topologically and rationally slice knots

Jennifer Holm, Sungkyung Kang, JungHwan Park

• A knot in S3 is topologically slice if it bounds a locally flat disk in B4. A knot in S3 is rationally slice if it bounds a smooth disk in a rational homology ball. We prove that the smooth concordance group of topologically and rationally slice knots admits a Z∞ subgroup. All previously known examples of knots that are both topologically and rationally slice were of order two. As a direct consequence, it follows that there are infinitely many topologically slice knots that are strongly rationally slice but not slice.