Decomposing 4-manifolds with positive scalar curvature

Abstract

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.

15 pages. Exposition improved and example given to explain the necessity of orbifolds. To appear in Adv. Math

References in corpus (2)

• On the Bartnik mass of apparent horizons
• The Schur Multipliers of $p$-Groups of Order $p^5$