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math.GT2024
Generating Infinitely Many Hyperbolic Knots with Plats
Carolyn Engelhardt, Seth Hovland
In this paper we study the relationships between links in plat position, the dynamics of the braid group, and Heegaard splittings of double branched covers of over a link. Th…
math.GT2024
Bridge Multisections of Knotted Surfaces in
Román Aranda, Carolyn Engelhardt
Bridge multisections are combinatorial descriptions of surface links in 4-space using tuples of trivial tangles. They were introduced by Islambouli, Karimi, Lambert-Cole, and Meier…