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Bibliographic Details
Main Authors: Degtyarev, Alex, Florens, Vincent, Lecuona, Ana G.
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2002.02790
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Table of Contents:
  • We present a new invariant, called slope, of a colored link in an integral homology sphere and use this invariant to complete the signature formula for the splice of two links. We develop a number of ways of computing the slope and a few vanishing results. Besides, we discuss the concordance invariance of the slope and establish its close relation to the Conway polynomials, on the one hand, and to the Kojima--Yamasaki $η$-function (in the univariate case) and Cochran invariants, on the other hand.