2 papers
math.DG2001
Curvature, Connected Sums, and Seiberg-Witten Theory
Masashi Ishida, Claude LeBrun
We consider several differential-topological invariants of compact 4-manifolds which directly arise from Riemannian variational problems. Using recent results of Bauer and Furuta,…
math.DG2001
Spin Manifolds, Einstein Metrics, and Differential Topology
Masashi Ishida, Claude LeBrun
We show that there exist smooth, simply connected, four-dimensional spin manifolds which do not admit Einstein metrics, but nonetheless satisfy the strict Hitchin-Thorpe inequality…