Twisted cohomology pairings of knots III; triple cup products

IF 0.5 4区数学 Q3 MATHEMATICS

Hiroshima Mathematical Journal Pub Date : 2018-08-26 DOI:10.32917/hmj/1595901628

Takefumi Nosaka

引用次数: 4

Abstract

Given a representation of a link group, we introduce a trilinear form, as a topological invariant. We show that, if the link is either hyperbolic or a knot with malnormality, then the trilinear form equals the pairing of the (twisted) triple cup product and the fundamental relative 3-class. Further, we give some examples of the computation.

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结III的扭曲上同调配对；三杯产品

给出一个链路群的表示形式，引入三线性形式作为拓扑不变量。我们证明，如果连杆是双曲的或者是异常的结，那么三线性形式等于(扭曲的)三杯积与基本的相对3类的配对。此外，我们还给出了一些计算实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Hiroshima Mathematical Journal 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970). Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.