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Pré-Publication, Document De Travail Année : 2023

Positive links with arrangements of pseudocircles as shadows

Résumé

An arrangement of pseudocircles A is a collection of Jordan curves in the plane that pairwise intersect (transversally) at exactly two points. How many non-equivalent links have A 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 A is one of the three unavoidable arrangements of pseudocircles
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Dates et versions

hal-04524353 , version 1 (28-03-2024)

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  • HAL Id : hal-04524353 , version 1

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Carolina Medina, Santino Ramírez, Jorge L. Ramírez-Alfonsín, Gelasio Salazar. Positive links with arrangements of pseudocircles as shadows. 2023. ⟨hal-04524353⟩
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