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

collaborators

Showing 2019Show all

3 papers · 1 filter

math.GT2019★ 56 cited

A survey of the foundations of four-manifold theory in the topological category

Stefan Friedl, Matthias Nagel, Patrick Orson +1

This survey aims to provide a guide to the literature on topological 4-manifolds. Foundational theorems on 4-manifolds are stated, especially in the topological category. Precise r…

math.GT2019

Doubly slice knots and metabelian obstructions

Patrick Orson, Mark Powell

For $ℓ > 1$ , we develop $L^{(2)}$ -signature obstructions for $(4 ℓ - 3)$ -dimensional knots with metabelian knot groups to be doubly slice. For each $ℓ > 1$ , we construct an infi…

math.GT2019★ 33 cited

Null, recursively starlike-equivalent decompositions shrink

Jeffrey Meier, Patrick Orson, Arunima Ray

A subset $E$ of a metric space $X$ is said to be starlike-equivalent if it has a neighbourhood which is mapped homeomorphically into $R^{n}$ for some $n$ , sending $E$ to a s…