A homotopy+ solution to the A-B slice problem
classification
🧮 math.GT
keywords
conjectureproblemslicesolutionsurgeryadmitapplicationsdimensional
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The A-B slice problem, a reformulation of the 4-dimensional topological surgery conjecture for free groups, is shown to admit a link-homotopy+ solution. The proof relies on geometric applications of the group-theoretic 2-Engel relation. Implications for the surgery conjecture are discussed.
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