Lernaean knots and band surgery

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2021-12-28 DOI:10.1090/spmj/1687

Y. Belousov, M. Karev, A. Malyutin, A. Miller, E. Fominykh

引用次数: 2

Abstract

The paper is devoted to a line of the knot theory related to the conjecture on the additivity of the crossing number for knots under connected sum. A series of weak versions of this conjecture are proved. Many of these versions are formulated in terms of the band surgery graph also called the H ( 2 ) H(2) -Gordian graph.

查看原文本刊更多论文

勒纳结和绑带手术

本文讨论了与连通和下结的交叉数的可加性猜想有关的结理论的一行。证明了这个猜想的一系列弱版本。这些版本中的许多都是根据带手术图(也称为H(2) H(2) -Gordian图)来制定的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.