3 papers
math.GT2026
Gordian distance and clasper surgery for links
Anthony Bosman, Christopher W. Davis, Taylor Martin +1
In 2000, Habiro introduced the notion of -equivalence of knots and links. This geometric filtration is closely connected to finite type invariants, a class of invariants inclu…
math.GT2025
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, \(n_Î(L)\), are invariants of the link homotopy class of \(L\) which count how many cross…
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…