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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
Self and mixed delta-moves on algebraically split links
Anthony Bosman, Devin Garcia, Justyce Goode +2
A delta-move is a local move on a link diagram. The delta-Gordian distance between links measures the minimum number of delta-moves needed to move between link diagrams. A self del…