P. Orson

activity

20132026

most citedA survey of the foundations of four-manifold theory in the topological category

56 citations · 112 across the 21 of their papers we have counts for

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Showing 2026 · math.GTShow all

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math.GT2026

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 $S^{2} \times S^{2}$ .…

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…