Abstract

Let CTS be the subgroup of the smooth knot concordance group generated by topologically slice knots. Endo showed that CTS contains an infinite-rank subgroup, and Livingston and Manolescu-Owens showed that CTS contains a Z 3 summand. We show that in fact CTS contains a Z 1 summand. The proof relies on the knot Floer homology package of Ozsvath‐Szabo and the concordance invariant . 57N70, 57R58; 57M25

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