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.
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页数：22
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