signature=aae4c748411cf06e96e850d88e8beb44,AMS :: Transactions of the American Mathematical Society

Signature invariants of covering links

Authors:

Jae Choon Cha and Ki Hyoung Ko

Journal:

Trans. Amer. Math. Soc. 358 (2006), 3399-3412

MSC (2000):

Primary 57M25, 57Q45, 57Q60

DOI:

https://doi/10.1090/S0002-9947-05-03739-6

Published electronically:

May 26, 2005

MathSciNet review:

2218981

Full-text PDF Free Access

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

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

Published electronically:

May 26, 2005

Article copyright:

© Copyright 2005

American Mathematical Society