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math.GT2022
Standard position for surfaces in link complements in arbitrary 3-manifolds
Jessica S. Purcell, Anastasiia Tsvietkova
Since the 1980s, it has been known that essential surfaces in alternating link complements can be isotoped to be transverse to the link diagram almost everywhere, with the exceptio…
math.GT2022
Random meander model for links
Nicholas Owad, Anastasiia Tsvietkova
We suggest a new random model for links based on meander diagrams and graphs. We then prove that trivial links appear with vanishing probability in this model, no link is obtai…