56 citations · 277 across the 50 of their papers we have counts for
6 papers · 1 filter
Satellites and concordance of knots in 3-manifolds
Stefan Friedl, Matthias Nagel, Patrick Orson +1
Given a 3-manifold and a free homotopy class in , we investigate the set of topological concordance classes of knots in representing the given homotop…
Concordance invariance of Levine-Tristram signatures of links
Matthias Nagel, Mark Powell
We determine for which complex numbers on the unit circle the Levine-Tristram signature and the nullity give rise to link concordance invariants.
Whitney towers and abelian invariants of knots
Jae Choon Cha, Kent E. Orr, Mark Powell
We relate certain abelian invariants of a knot, namely the Alexander polynomial, the Blanchfield form, and the Arf invariant, to intersection data of a Whitney tower in the 4-ball…
The four genus of a link, Levine-Tristram signatures and satellites
Mark Powell
We give a new proof that the Levine-Tristram signatures of a link give lower bounds for the minimal sum of the genera of a collection of oriented, locally flat, disjointly embedded…
Twisted Blanchfield pairings and symmetric chain complexes
Mark Powell
We define the twisted Blanchfield pairing of a symmetric triad of chain complexes over a group ring Z[G], together with a unitary representation of G over an Ore domain with involu…
Twisted Blanchfield pairings and decompositions of 3-manifolds
Stefan Friedl, Constance Leidy, Matthias Nagel +1
We prove a decomposition formula for twisted Blanchfield pairings of 3-manifolds. As an application we show that the twisted Blanchfield pairing of a 3-manifold obtained from a 3-m…