a1 Department of Mathematics, Indiana University, Bloomington, IN, 47405, U.S.A. e-mail: email@example.com
a2 Department of Mathematics, University of San Francisco, San Francisco, CA, 94117, U.S.A. e-mail: firstname.lastname@example.org
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.
(Received October 11 2010)
(Online publication July 18 2011)
† Partially supported by NSF-DMS-0707078 and NSF-DMS-1007196.