Concordance of Bing Doubles and Boundary Genus

摘要

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 2n?1σ. The same result holds with σ replaced by 2τ, twice the Ozsváth-Szabó knot concordance invariant.