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Signature invariants of covering links
Author(s):
Jae
Choon
Cha;
Ki
Hyoung
Ko
Journal:
Trans. Amer. Math. Soc.
358
(2006),
3399-3412.
MSC (2000):
Primary 57M25, 57Q45, 57Q60
Posted:
May 26, 2005
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Additional information
Abstract:
We apply the theory of signature invariants of links in rational homology spheres to covering links of homology boundary links. From patterns and Seifert matrices of homology boundary links, we derive an explicit formula to compute signature invariants of their covering links. Using the formula, we produce fused boundary links that are positive mutants of ribbon links but are not concordant to boundary links. We also show that for any finite collection of patterns, there are homology boundary links that are not concordant to any homology boundary links admitting a pattern in the collection.
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Additional Information:
Jae
Choon
Cha
Affiliation:
Department of Mathematics, Indiana University, Bloomington, Indiana 47405
Address at time of publication:
Information and Communications University, Daejeon 305--714, Korea
Email:
jccha@icu.ac.kr
Ki
Hyoung
Ko
Affiliation:
Department of Mathematics, Korea Advanced Institute of Science and Technology, Daejeon 305--701, Korea
Email:
knot@knot.kaist.ac.kr
DOI:
10.1090/S0002-9947-05-03739-6
PII:
S 0002-9947(05)03739-6
Keywords:
Link concordance,
signature,
covering link,
homology boundary link,
mutation
Received by editor(s):
April 1, 2003
Received by editor(s) in revised form:
May 11, 2004
Posted:
May 26, 2005
Copyright of article:
Copyright
2005,
American Mathematical Society
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