A stability range for topological 4-manifolds

Abstract

We introduce a new stable range invariant for the classification of closed, oriented topological $4$-manifolds (up to $s$-cobordism), after stabilization by connected sum with a uniformly bounded number of copies of $S^2\times S^2$.

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

Cited by in corpus (1)

• The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds