Decomposing 4-manifolds with positive scalar curvature

Decomposing 4-manifolds with positive scalar curvature

We show that every closed, oriented, topologically PSC 4-manifold can be obtained via 0 and 1-surgeries from a topologically PSC 4-orbifold with vanishing first Betti number and second Betti number at most as large as the original one.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Advances in mathematics (New York. 1965) 2023-10, Vol.430, p.109231, Article 109231
Hauptverfasser: Bamler, Richard H., Li, Chao, Mantoulidis, Christos
Format: Artikel
Sprache:eng
Schlagworte:
4-manifolds
Betti numbers
Four-dimensional manifolds
Positive scalar curvature
Surgery
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We show that every closed, oriented, topologically PSC 4-manifold can be obtained via 0 and 1-surgeries from a topologically PSC 4-orbifold with vanishing first Betti number and second Betti number at most as large as the original one.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2023.109231