English

A homotopy+ solution to the A-B slice problem

Geometric Topology 2016-12-13 v2

Abstract

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.

Cite

@article{arxiv.1601.05066,
  title  = {A homotopy+ solution to the A-B slice problem},
  author = {Michael Freedman and Vyacheslav Krushkal},
  journal= {arXiv preprint arXiv:1601.05066},
  year   = {2016}
}

Comments

19 pages. v.2: A more detailed exposition, final version

R2 v1 2026-06-22T12:32:55.695Z