ENGEL RELATIONS IN 4-MANIFOLD TOPOLOGY

We give two applications of the 2-Engel relation, classically studied in finite and Lie groups, to the 4-dimensional (4D) topological surgery conjecture. The A–B slice problem, a reformulation of the surgery conjecture for free groups, is shown to admit a homotopy solution. We also exhibit a new col...

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Bibliographic Details
Main Authors: MICHAEL FREEDMAN, VYACHESLAV KRUSHKAL
Format: Article
Language:English
Published: Cambridge University Press 2016-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509416000207/type/journal_article