56 citations · 277 across the 50 of their papers we have counts for
61 papers
Stably exotic fillings of 3-manifolds
Daniel Kasprowski, Patrick Orson, Mark Powell +1
We investigate which 3-manifolds bound 4-manifolds that are homeomorphic but not stably diffeomorphic, where stabilising means taking connected sum with copies of .…
Unknotting nonorientable surfaces
Anthony Conway, Patrick Orson, Mark Powell
Given a nonorientable, locally flatly embedded surface in the -sphere of nonorientable genus , Massey showed that the normal Euler number lies in $\lbrace -2h,-2h+4,\ldots,2h…
Infinite homotopy stable class for 4-manifolds with boundary
Anthony Conway, Diarmuid Crowley, Mark Powell
We show that for every odd prime , there exists an infinite family of topological 4-manifolds that are all stably homeomorphic to one another, all the m…
Strongly invertible knots, equivariant slice genera, and an equivariant algebraic concordance group
Allison N. Miller, Mark Powell
We use the Blanchfield form to obtain a lower bound on the equivariant slice genus of a strongly invertible knot. For our main application, let be a genus one strongly invertib…
Simple spines of homotopy 2-spheres are unique
Patrick Orson, Mark Powell
A locally flatly embedded -sphere in a compact -manifold is called a spine if the inclusion map is a homotopy equivalence. A spine is called simple if the complement of t…
Mapping class groups of simply connected 4-manifolds with boundary
Patrick Orson, Mark Powell
We compute the topological mapping class group of every compact, simply connected, topological 4-manifold. This was previously only known in the closed case. If the 4-manifold is s…