AI 中文总结
研究利用广义Seifert矩阵族定义链环的代数协边群，借此恢复相关不变性，并用于研究群的同构类型。
AI 中文摘要
我们使用广义Seifert矩阵族来定义具有非平凡Alexander多项式的链环的代数协边群。接着利用这些群恢复特征标在协边下的不变性、协边链环的Fox-Milnor条件以及链环的Blanchfield配对的Witt类在协边下的不变性。最后，用这些不变量研究这些群的同构类型。
英文摘要
We use families of generalized Seifert matrices to define algebraic concordance groups for links with non trivial Alexander polynomial. We then use these groups to recover the invariance by concordance of the signature, the Fox-Milnor condition for concordant links and the invariance by concordance of the Witt class of the Blanchfield pairing for links. Finally, we use these invariants to investigate the isomorphism types of these groups.
Comments31 pages, 10 figures
