The topological 5-dimensional s-cobordism conjecture
Let be a compact topological -dimensional -cobordism that is a product on the boundary.
-cobordism conjecture. There is a homeomorphism
extending the given product structure on the boundary.
This is the second conjecture in the source's stated equivalence with the disc embedding conjecture, and together with the topological surgery conjecture would imply that every pairwise linking-number-zero link is round handle slice. The source provides no evidence of resolution.
References
Primary source
Min Hoon Kim, Mark Powell and Peter Teichner, “The round handle problem”, arXiv:1706.09571 (2020).
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