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math.GT2026
Genus-zero links with prescribed knots as components
Raphael Appenzeller, José Pedro Quintanilha
The authors prove that any finite collection of at least three knot isotopy classes in a 3‑manifold can be realized as the components of a genus‑zero link, provided a natural condi…
math.GT2026
All knots are trivial: a "proof" by sleight of hand
Raphael Appenzeller, José Pedro Quintanilha, José Pedro Quintanilha
We take a close look at a classical magic trick performed with a string, where a trivial knot is seemingly isotoped into a trefoil, and generalize it to a family of magic tricks fo…