Surgery on closed 4-manifolds with free fundamental group
arXiv:math/0103018 · doi:10.1017/S0305004102006084
Abstract
Even though the disk embedding theorem is not available in dimension 4 for free fundamental groups, some surgery problems may be shown to have topological solutions. We prove that surgery problems may be solved if one considers closed 4-manifolds and the intersection pairing is extended from the integers, and prove a related splitting result.
7 pages
Cited by in corpus (5)
- Homotopy invariance of 4-manifold decompositions: connected sums
- On the geography and botany of irreducible nonspin 4-manifolds with abelian fundamental group
- On smoothable surgery for 4-manifolds
- Families of 4-manifolds with nontrivial stable cohomotopy Seiberg-Witten invariants, and normalized Ricci flow
- Surgery and involutions on 4-manifolds