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math.GT2024
Diagonal knots and the tau invariant
Jackson Arndt, Malia Jansen, Payton McBurney +1
In 2003, Ozsváth, Szabó, and Rasmussen introduced the invariant for knots, and in 2011, Sarkar published a computational shortcut for the invariant of knots that can be rep…
math.GT2024
How many crossing changes or Delta-moves does it take to get to a homotopy trivial link?
Anthony Bosman, Christopher William Davis, Taylor Martin +2
The homotopy trivializing number, \(n_h(L)\), and the Delta homotopy trivializing number, \(n_Δ(L)\), are invariants of the link homotopy class of \(L\) which count how many crossi…