链接和签名公式的斜率

Topology, Geometry, and Dynamics Pub Date : 2020-02-06 DOI:10.1090/conm/772/15483

A. Degtyarev, V. Florens, Ana G. Lecuona

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引用次数: 4

摘要

给出了积分同调球上彩色连杆的一个新的不变量斜率，并利用该不变量补全了两连杆拼接的签名公式。我们开发了许多计算斜率的方法和一些消失的结果。此外，我们讨论了斜率的一致性不变性，并建立了它与Conway多项式、Kojima-Yamasaki η \eta -函数(在单变量情况下)和Cochran不变量的密切关系。

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Slopes of links and signature formulas

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 \eta -function (in the univariate case) and Cochran invariants, on the other hand.

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Topology, Geometry, and Dynamics

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