2 citations · 6 across the 5 of their papers we have counts for
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Simply-connected manifolds with large homotopy stable classes
Anthony Conway, Diarmuid Crowley, Mark Powell +1
For every and we construct pairwise homotopically inequivalent simply-connected, closed -dimensional manifolds, all of which are stably diffeomorphic…
The -genus of boundary links
Peter Feller, JungHwan Park, Mark Powell
The -genus of a link in is the minimal genus of a locally flat, embedded, connected surface in whose boundary is and with the fundamental group of t…
A lower bound for the doubly slice genus from signatures
Patrick Orson, Mark Powell
The doubly slice genus of a knot in the 3-sphere is the minimal genus among unknotted orientable surfaces in the 4-sphere for which the knot arises as a cross-section. We use the c…
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.