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arXiv · 2206.09335

Decomposing 4-manifolds with positive scalar curvature

Richard H. Bamler·Chao Li·Christos Mantoulidis
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Abstract

We show that every closed, oriented, topologically PSC 4-manifold can be obtained via 0 and 1-surgeries from a topologically PSC 4-orbifold with vanishing first Betti number and second Betti number at most as large as the original one.

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Richard H. Bamler, Chao Li, Christos Mantoulidis. 2022-06-19. Decomposing 4-manifolds with positive scalar curvature. https://doi.org/10.1016/j.aim.2023.109231

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