Mathematics – Differential Geometry
Scientific paper
2004-04-20
Surveys in Differential Geometry, vol. VIII: Papers in Honor of Calabi, Lawson, Siu, and Uhlenbeck. S.-T. Yau, editor. Interna
Mathematics
Differential Geometry
21 pages, LaTeX2e
Scientific paper
This article presents a new and more elementary proof of the main
Seiberg-Witten-based obstruction to the existence of Einstein metrics on smooth
compact 4-manifolds. It also introduces a new smooth manifold invariant which
conveniently encapsulates those aspects of Seiberg-Witten theory most relevant
to the study of Riemannian variational problems on 4-manifolds.
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