Gravitational instantons from rational elliptic surfaces
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Tue, 23/11/2010 15:45 |
Hans-Joachim Hein (Imperial College London) |
Algebraic and Symplectic Geometry Seminar  |
L3 |
| Gravitational instantons are complete hyperkaehler 4-manifolds whose Riemann curvature tensor is square integrable. They can be viewed as Einstein geometry analogs of finite energy Yang-Mills instantons on Euclidean space. Classical examples include Kronheimer's ALE metrics on crepant resolutions of rational surface singularities and the ALF Riemannian Taub-NUT metric, but a classification has remained largely elusive. I will present a large, new connected family of gravitational instantons, based on removing fibers from rational elliptic surfaces, which contains ALG and ALH spaces as well as some unexpected geometries. | |||