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math.GT2024
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…
math.CO2024
Pach's animal problem within the bounding box
Martin Tancer
A collection of unit cubes with integer coordinates in is an animal if its union is homeomorphic to the 3-ball. Pach's animal problem asks whether any animal can be t…