论文标题
纤维结的扭曲签名
Twisted signatures of fibered knots
论文作者
论文摘要
本文涉及结的扭曲签名不变性和3个manifolds。在纤维纤维的情况下，我们将这些不变性的计算减少到对纤维表面扭曲同源性的交叉形式的研究和单型。在此过程中，我们使用Power系列的戒指来获取Kirk和Livingston引入的扭曲Milnor配对的新解释。这使我们可以将这些配对与扭曲的Blanchfield配对。最后，我们研究了由此产生的签名不变式，所有这些都是莱文 - 特里斯特拉姆签名的扭曲概括。
This paper concerns twisted signature invariants of knots and 3-manifolds. In the fibered case, we reduce the computation of these invariants to the study of the intersection form and monodromy on the twisted homology of the fiber surface. Along the way, we use rings of power series to obtain new interpretations of the twisted Milnor pairing introduced by Kirk and Livingston. This allows us to relate these pairings to twisted Blanchfield pairings. Finally, we study the resulting signature invariants, all of which are twisted generalisations of the Levine-Tristram signature.
