56 citations · 277 across the 50 of their papers we have counts for
8 papers · 2 filters
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…
Gluck twists on concordant or homotopic spheres
Daniel Kasprowski, Mark Powell, Arunima Ray
Let be a compact -manifold and let and be embedded -spheres in , both with trivial normal bundle. We write and for the -manifolds obtained by th…
-manifolds with boundary and fundamental group
Anthony Conway, Lisa Piccirillo, Mark Powell
We classify topological -manifolds with boundary and fundamental group , under some assumptions on the boundary. We apply this to classify surfaces in simply-connect…
Counterexamples in 4-manifold topology
Daniel Kasprowski, Mark Powell, Arunima Ray
We illustrate the rich landscape of 4-manifold topology through the lens of counterexamples. We consider several of the most commonly studied equivalence relations on 4-manifolds a…
Embedding surfaces in 4-manifolds
Daniel Kasprowski, Mark Powell, Arunima Ray +1
We prove a surface embedding theorem for 4-manifolds with good fundamental group in the presence of dual spheres, with no restriction on the normal bundles. The new obstruction is…