Degtyarev, Alex I.Florens, V.Lecuona, A.G.Vershik, A.M.Buchstaber, V.M.Malyutin, A.V.2022-01-272022-01-272021978-147045664-1http://hdl.handle.net/11693/76837Date of Conference: August 19–23, 2019Conference Name: Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin-100We 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. © 2021 by the American Mathematical Society.EnglishC-complexColored linkConcordanceMultivariate signatureSlopeSpliceConference Paper10.1090/conm/772/15483978-1-4704-6451-6