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math.GT2026
Geometric obstructions for -fillings of 3-manifolds
Daniel Galvin, Peter Teichner, Simona Veselá
We consider the realisation problem for normal 1-types of 4-manifolds with a given boundary. More precisely, given a normal 1-type and closed 3-dimensional -manifold , do…
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.GT2024★ 1 cited
Stable equivalence relations on 4-manifolds
Daniel Kasprowski, John Nicholson, Simona Veselá
Kreck's modified surgery gives an approach to classifying smooth -manifolds up to stable diffeomorphism, i.e. up to connected sum with copies of . In dimension…