27 citations · 71 across the 21 of their papers we have counts for
30 papers
-complexes, Clasp Number, and Triple Linking Number
Christopher William Davis, David Lawrence, Jack Paulsen +1
A C-complex is a union of Seifert surfaces for the components of a link which intersect each other in clasps. The clasp number of a link is the minimal number of clasps amongst all…
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…
Lifting Milnor Invariants for 3-Component Links
Christopher W. Davis, JungHwan Park
We define a sequence of integer-valued invariants for a -component link . We prove that the resulting -invariants are invariant under concordance, and more genera…
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…
Concordance to boundary links and the solvable filtration
Christopher W. Davis, Shelly Harvey, JungHwan Park
A geometric interpretation of the vanishing of Milnor's higher order linking numbers remains an important open problem in the study of link concordance. In the 1990's, works of Coc…
Whitney tower concordance and knots in homology spheres
Christopher William Davis
In a groundbreaking work A. Levine proved the surprising result that there exist knots in homology spheres which are not smoothly concordant to any knot in , even if one allow…