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math.GT2025
Bonded braids and the Markov theorem
Paolo Cavicchioli, Boštjan Gabrovšek, Matic Simonič
Bonded knots arise naturally in topological protein modeling, where intramolecular interactions such as disulfide bridges stabilize folded configurations. These structures extend c…
math.GT2025
Knots and non-orientable surfaces in 3-manifolds
Alessia Cattabriga, Paolo Cavicchioli, Rama Mishra +1
In this article, we propose a new approach for describing and understanding knots and links in a 3-manifold through the use of an embedded non-orientable surface. Specifically, we…