Chord index for knots in thickened surfaces

IF 0.6 Q3 MATHEMATICS

Illinois Journal of Mathematics Pub Date : 2021-09-14 DOI:10.1215/00192082-10188162

Zhiyun Cheng, Hongzhu Gao, Mengjian Xu

引用次数: 0

Abstract

In this note, we construct a chord index homomorphism from a subgroup of H1(Σ, Z) to the group of chord indices of a knot K in Σ × I. Some knot invariants derived from this homomorphism are discussed.

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加厚表面上结的弦指数

本文从H1(Σ， Z)的子群到Σ × 1中结点K的弦指数群构造了一个弦指数同态。讨论了由此同态导出的一些结不变量。

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

Illinois Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： IJM strives to publish high quality research papers in all areas of mainstream mathematics that are of interest to a substantial number of its readers. IJM is published by Duke University Press on behalf of the Department of Mathematics at the University of Illinois at Urbana-Champaign.