• Corpus ID: 219558930

The 4-dimensional disc embedding theorem and dual spheres

@article{Powell2020The4D,
  title={The 4-dimensional disc embedding theorem and dual spheres},
  author={Mark Powell and Arunima Ray and Peter Teichner},
  journal={arXiv: Geometric Topology},
  year={2020}
}
We modify the proof of the disc embedding theorem for 4-manifolds, which appeared as Theorem 5.1A in the book "Topology of 4-manifolds" by Freedman and Quinn, in order to construct geometrically dual spheres. These were claimed in the statement but not constructed in the proof. Fundamental results in 4-manifold topology such as the existence and exactness of the surgery sequence, the s-cobordism theorem, and thence the classification of closed, simply connected topological 4-manifolds up to… 
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