Self-dual Maps III: projective links
Geometric Topology
2024-01-01 v1 Combinatorics
Abstract
In this paper, we present necessary and sufficient combinatorial conditions for a link to be projective, that is, a link in . 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 condition to prevent a projective link to be alternating.
Cite
@article{arxiv.2210.04053,
title = {Self-dual Maps III: projective links},
author = {L. Montejano and J. Ramirez Alfonsin and I. Rasskin},
journal= {arXiv preprint arXiv:2210.04053},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2106.05376