Structure of the string link concordance group and Hirzebruch-type invariants Jae Choon Cha 57M2557M2757N70Hirzebruch-type invariantlinkstring linkconcordanceCochran-Orr-Teichner filtration We employ Hirzebruch-type invariants obtained from iterated $p$-covers to investigate concordance of links and string links. We show that the invariants naturally give various group homomorphisms of the string link concordance group into $L$-groups over number fields. We also obtain homomorphisms of successive quotients of the Cochran-Orr-Teichner filtration. We illustrate that our invariant reveals much information that Harvey's $\rho_n$-invariant does not extract, by showing that the kernel of the $\rho_n$-invariant is large enough to contain a subgroup with infinite rank abelianization modulo local knots. As another application, we show that concordance classes of recently discovered non-slice iterated Bing doubles are independent in an appropriate sense. Indiana University Mathematics Journal 2009 text pdf 10.1512/iumj.2009.58.3520 10.1512/iumj.2009.58.3520 en Indiana Univ. Math. J. 58 (2009) 891 - 928 state-of-the-art mathematics http://iumj.org/access/