Abstract
Seiberg-Witten theory is used to obtain new obstructions to the existence of Einstein metrics on 4-manifolds with conical singularities along an embedded surface. In the present article, the cone angle is required to be of the form 2π/p, p a positive integer, but we conjecture that similar results will also hold in greater generality.
| Original language | English |
|---|---|
| Pages (from-to) | 979-1021 |
| Number of pages | 43 |
| Journal | Journal of the Mathematical Society of Japan |
| Volume | 67 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2015 |
Keywords
- Edge-cone metric
- Einstein metric
- Orbifold
- Scalar curvature
- Seiberg-witten invariant
- Weyl curvature
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