The topological uniqueness of triply periodic minimal surfaces in \(R^ 3\)
The author proves a conjecture of Meeks: All triply periodic minimal surfaces in \(R^ 3\) are equivalent under homeomorphisms of \(R^ 3\). The purely topological proofuses the fact that such surfaces cover Heegard splittings of the three-torus.
scientific article; zbMATH DE number 4129537