56 citations · 277 across the 50 of their papers we have counts for
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A survey of the foundations of four-manifold theory in the topological category
Stefan Friedl, Matthias Nagel, Patrick Orson +1
This survey aims to provide a guide to the literature on topological 4-manifolds. Foundational theorems on 4-manifolds are stated, especially in the topological category. Precise r…
Doubly slice knots and metabelian obstructions
Patrick Orson, Mark Powell
For , we develop -signature obstructions for -dimensional knots with metabelian knot groups to be doubly slice. For each , we construct an infi…
Stabilization distance between surfaces
Allison N. Miller, Mark Powell
Define the 1-handle stabilization distance between two surfaces properly embedded in a fixed 4-dimensional manifold to be the minimal number of 1-handle stabilizations necessary fo…
Homotopy ribbon concordance and Alexander polynomials
Stefan Friedl, Mark Powell
We show that if a link J in the 3-sphere is homotopy ribbon concordant to a link L then the Alexander polynomial of L divides the Alexander polynomial of J.
Characterisation of homotopy ribbon discs
Anthony Conway, Mark Powell
Let be either the infinite cyclic group or the Baumslag-Solitar group . Let be a slice knot admitting a slice disc…
Two-solvable and two-bipolar knots with large four-genera
Jae Choon Cha, Allison N. Miller, Mark Powell
For every integer g, we construct a 2-solvable and 2-bipolar knot whose topological 4-genus is greater than g. Note that 2-solvable knots are in particular algebraically slice and…