English

A stability range for topological 4-manifolds

Geometric Topology 2026-02-06 v3 Algebraic Topology

Abstract

We introduce a new stable range invariant for the classification of closed, oriented topological 44-manifolds (up to ss-cobordism), after stabilization by connected sum with a uniformly bounded number of copies of S2×S2S^2\times S^2.

Keywords

Cite

@article{arxiv.2209.01189,
  title  = {A stability range for topological 4-manifolds},
  author = {Ian Hambleton},
  journal= {arXiv preprint arXiv:2209.01189},
  year   = {2026}
}

Comments

26 pages (v3). Revisions following referees' reports; final version, accepted for publication in Transactions of the American Mathematical Society

R2 v1 2026-06-28T00:39:06.461Z