2 citations · 2 across the 5 of their papers we have counts for
6 papers
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…
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…
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…
Obstructions to shake sliceness for links
Anthony Bosman
Shake slice generalizes the notion of a slice link, naturally extending the notion of shake slice knots to links. There is also a relative version, shake concordance, that generali…
The delta-unlinking number of algebraically split links
Anthony Bosman, Jeannelle Green, Gabriel Palacios +2
It is known that algebraically split links (links with vanishing pairwise linking number) can be transformed into the trivial link by a series of local moves on the link diagram ca…
Shake Slice and Shake Concordant Links
Anthony Bosman
We can construct a 4-manifold by attaching 2-handles to a 4-ball with framing r along the components of a link in the boundary of the 4-ball. We define a link as r-shake slice if t…