Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896552 | Journal of Geometry and Physics | 2011 | 7 Pages |
Abstract
By using the gluing formulae of the Seiberg-Witten invariant, we show the nonexistence of Einstein metrics on manifolds obtained from a 4-manifold with a nontrivial Seiberg-Witten invariant by performing sufficiently many connected sums or appropriate surgeries along circles or homologically trivial 2-spheres with closed oriented 4-manifolds with negative-definite intersection form.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Chanyoung Sung,