Signature invariants of covering links-Reference-Cited by-同舟云学术

Signature invariants of covering links

Published:2005-05-26 Issue:8 Volume:358 Page:3399-3412
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Cha Jae,Ko Ki

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2006-358-08/S0002-9947-05-03739-6/S0002-9947-05-03739-6.pdf

Reference25 articles.

1. Branched covers of surfaces in 4-manifolds;Akbulut, Selman;Math. Ann.,1979

2. On slice knots in dimension three;Casson, A. J.,1978

3. Signature invariants of links from irregular covers and non-abelian covers;Cha, Jae Choon;Math. Proc. Cambridge Philos. Soc.,1999

4. Signatures of links in rational homology spheres;Cha, Jae Choon;Topology,2002

5. Homology boundary links and the Andrews-Curtis conjecture;Cochran, T. D.;Topology,1991

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Topological spines of 4–manifolds;Algebraic & Geometric Topology;2020-12-29

2. Links not concordant to the Hopf link;Mathematical Proceedings of the Cambridge Philosophical Society;2014-02-24

3. Knot concordance and homology cobordism;Proceedings of the American Mathematical Society;2013-01-11

4. Concordance to links with unknotted components;Algebraic & Geometric Topology;2012-05-02

5. AN INJECTIVITY THEOREM FOR CASSON-GORDON TYPE REPRESENTATIONS RELATING TO THE CONCORDANCE OF KNOTS AND LINKS;Bulletin of the Korean Mathematical Society;2012-03-31