Self-dual Maps III: projective links

L. Montejano; J. Ramirez Alfonsin; I. Rasskin

doi:10.1142/s0218216523500669

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arXiv · 2210.04053

Self-dual Maps III: projective links

L. Montejano·J. Ramirez Alfonsin·I. Rasskin

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Abstract

In this paper, we present necessary and sufficient combinatorial conditions for a link to be projective, that is, a link in $RP^3$. 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.

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BibTeX RIS

L. Montejano, J. Ramirez Alfonsin, I. Rasskin. 2022-10-08. Self-dual Maps III: projective links. https://doi.org/10.1142/s0218216523500669

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