56 citations · 277 across the 50 of their papers we have counts for
5 papers · 1 filter
Triple linking numbers and surface systems
Christopher William Davis, Matthias Nagel, Patrick Orson +1
We give a refined value group for the collection of triple linking numbers of links in the 3-sphere. Given two links with the same pairwise linking numbers we show that they have t…
Symmetric chain complexes, twisted Blanchfield pairings, and knot concordance
Allison N. Miller, Mark Powell
We give a formula for the duality structure of the 3-manifold obtained by doing zero-framed surgery along a knot in the 3-sphere, starting from a diagram of the knot. We then use t…
Linking forms of amphichiral knots
Stefan Friedl, Allison N. Miller, Mark Powell
We give a simple obstruction for a knot to be amphichiral, in terms of the homology of the 2-fold branched cover. We work with unoriented knots, and so obstruct both positive and n…
Smooth and topological almost concordance
Matthias Nagel, Patrick Orson, JungHwan Park +1
We investigate the disparity between smooth and topological almost concordance of knots in general 3-manifolds Y. Almost concordance is defined by considering knots in Y modulo con…
The round handle problem
Min Hoon Kim, Mark Powell, Peter Teichner
We present the Round Handle Problem, proposed by Freedman and Krushkal. It asks whether a collection of links, which contains the Generalised Borromean Rings, are slice in a 4-mani…