A Note on the Concordance ℤ-Genus
The Michigan Mathematical Journal
We show that the difference between the topological 4-genus of a knot and the minimal genus of a surface bounded by that knot that can be decomposed into a smooth concordance followed by an algebraically simple locally flat surface can be arbitrarily large. This extends work of Hedden, Livingston, and Ruberman showing that there are topologically slice knots which are not smoothly concordant to any knot with trivial Alexander polynomial.
Allison N. Miller and JH Park.
"A Note on the Concordance ℤ-Genus".
The Michigan Mathematical Journal.