本文将同调球链接的签名不变量理论应用于同调边界链接的覆盖链接，通过同调边界链接的模式和Seifert矩阵，导出了计算覆盖链接签名不变量的公式。利用该公式，我们构造出了一些与 ribbon 链接正变异体但与边界链接不相容的融合边界链接，并证明对于任何有限集合的模式，存在不与集合内模式对应的同调边界链接不相容的情况。
摘要：
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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