27 citations · 71 across the 21 of their papers we have counts for
4 papers · 2 filters
Concordance to links with an unknotted component
Christopher William Davis, JungHwan Park
We construct links of arbitrarily many components each component of which is slice and yet are not concordant to any link with even one unknotted component. The only tool we use co…
The C-complex clasp number of links
Jonah Amundsen, Eric Anderson, Christopher William Davis +1
In the 1980's Daryl Cooper introduced the notion of a C-complex (or clasp-complex) bounded by a link and explained how to compute signatures and polynomial invariants using a C-com…
Concordance, crossing changes, and knots in homology spheres
Christopher W. Davis
Any knot in may be reduced to a slice knot by crossing changes. Indeed, this slice knot can be taken to be the unknot. In this paper we study the question of when the same ho…
On the indeterminacy of Milnor's triple linking number
Jonah Amundsen, Eric Anderson, Christopher W. Davis
In the 1950's Milnor defined a family of higher order invariants generalizing the linking number. Even the first of these new invariants, the triple linking number, has received an…