We show that the subgroup of the knot concordance group generated by links of isolated complex singularities intersects the subgroup of algebraically slice knots in an infinite rank subgroup.
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Paul Kirk, Matthew Hedden, Charles Livingston, Non-slice linear combinations of algebraic knots. J. Eur. Math. Soc. 14 (2012), no. 4, pp. 1181–1208DOI 10.4171/JEMS/330