Concordance of Bing doubles and boundary genus

Cha and Kim proved that if a knot K is not algebraically slice, then no iterated Bing double of K is concordant to the unlink. We prove that if K has nontrivial signature $σ$, then the n-iterated Bing double of K is not concordant to any boundary link with boundary surfaces of genus less than $2^{n-1}σ$. The same result holds with $σ$ replaced by $2τ$, twice the Ozsvath-Szabo knot concordance invariant.

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