Mark Powell

collaborators

3 papers

math.GT2026

Smooth stable isotopy of topologically isotopic surfaces

Daniel Galvin, Patrick Orson, Mark Powell

A stabilisation of a $4$ -manifold $X$ is the connected sum of $X$ with some number of copies of $S^{2} \times S^{2}$ . If two smooth surfaces in a $4$ -manifold are topologically isotopic…

math.GT2026

Some remarks on $h$ -cobordisms between smooth 4-manifolds

Alexander Kupers, Mark Powell

It is not known whether the realisation part of the $s$ -cobordism theorem holds for smooth 4-manifolds, nor whether every pair of smoothly $h$ -cobordant 4-manifolds is also smoothl…

math.AT2026

Simple homotopy types of even dimensional manifolds

Csaba Nagy, John Nicholson, Mark Powell

Given a closed $n$ -manifold, we consider the set of simple homotopy types of $n$ -manifolds within its homotopy type, called its simple homotopy manifold set. We characterise it in…

Smooth stable isotopy of topologically isotopic surfaces

Some remarks on h-cobordisms between smooth 4-manifolds

Simple homotopy types of even dimensional manifolds

Some remarks on $h$ -cobordisms between smooth 4-manifolds