Slopes of links and signature formulas
Geometric Topology
2024-03-05 v2
Abstract
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 -function (in the univariate case) and Cochran invariants, on the other hand.
Keywords
Cite
@article{arxiv.2002.02790,
title = {Slopes of links and signature formulas},
author = {Alex Degtyarev and Vincent Florens and Ana G. Lecuona},
journal= {arXiv preprint arXiv:2002.02790},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1802.01836. References updated