Signature invariants of covering links

Cha, Jae; Ko, Ki

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

Signature invariants of covering links
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by Jae Choon Cha and Ki Hyoung Ko PDF

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

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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