3 papers
math.GT2026
Triangulating Spun 2-Knot Complements
Rhuaidi Antonio Burke, Benjamin Burton, Arunima Ray +3
A -knot is an embedding of a -sphere into the -sphere. Similar to the case of embedding circles into the -sphere, this allows the -sphere to be knotted. In this shor…
math.GT2026
Small Triangulations of -Manifolds: Introducing the -Manifold Census
Rhuaidi Antonio Burke, Benjamin A. Burton, Jonathan Spreer
We present a framework to classify PL-types of large censuses of triangulated -manifolds, which we use to classify the PL-types of all triangulated -manifolds with up to six…
math.GT2025
Algorithms in 4-manifold topology
Stefan Bastl, Rhuaidi Burke, Rima Chatterjee +28
We show that there exists an algorithm that takes as input two closed, simply connected, topological 4-manifolds and decides whether or not these 4-manifolds are homeomorphic. In p…