Structure of the String Link Concordance Group and Hirzebruch-type Invariants
SCIE
SCOPUS
- Title
- Structure of the String Link Concordance Group and Hirzebruch-type Invariants
- Authors
- Cha, JC
- Date Issued
- 2009-01
- Publisher
- INDIANA UNIV MATH JOURNAL
- Abstract
- 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/10406
- DOI
- 10.1512/iumj.2009.58.3520
- ISSN
- 0022-2518
- Article Type
- Article
- Citation
- INDIANA UNIVERSITY MATHEMATICS JOURNAL, vol. 58, no. 2, page. 891 - 927, 2009-01
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