Positive links with arrangements of pseudocircles as shadows
Geometric Topology
2023-12-22 v1 Combinatorics
Abstract
An arrangement of pseudocircles is a collection of Jordan curves in the plane that pairwise intersect (transversally) at exactly two points. How many non-equivalent links have as their shadow? Motivated by this question, we study the number of non-equivalent positive oriented links that have an arrangement of pseudocircles as their shadow. We give sharp estimates on this number when is one of the three unavoidable arrangements of pseudocircles.
Keywords
Cite
@article{arxiv.2312.13808,
title = {Positive links with arrangements of pseudocircles as shadows},
author = {Carolina Medina and Santino Ramirez and Jorge L. Ramirez-Alfonsin and Gelasio Salazar},
journal= {arXiv preprint arXiv:2312.13808},
year = {2023}
}