Self-dual maps III: Projective links

被引：1

作者：

Montejano, Luis ^{[1
]}

Alfonsin, Jorge L. Ramirez ^{[2
]}

Rasskin, Ivan ^{[3
]}

机构：

[1] Univ Nacl A Mexico Queretaro, Inst Matemat, Cdmx 07360, Mexico

[2] Univ Montpellier, UMI2924 JC Yaccoz CNRS IMPA Brazil, IMAG, CNRS Montpellier, Montpellier, France

[3] Graz Univ Technol, Inst Anal & Number Theory, Rechbauerstr 12, A-8010 Graz, Austria

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2023年 / 32卷 / 10期

基金：

奥地利科学基金会;

关键词：

Self-dual maps; projective links; alternating links;

D O I：

10.1142/S0218216523500669

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present necessary and sufficient combinatorial conditions for a link to be projective, that is, a link in Double-struck capital RDOUBLE-STRUCK CAPITAL P3. This characterization is closely related to the notions of antipodally self-dual and antipodally symmetric maps. We also discuss the notion of symmetric cycle, an interesting issue arising in projective links leading us to an easy necessary condition for alternating anti-inversely symmetric links.

引用

页数：22

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