Numerical Calabi-Yau metrics
Michael R. Douglas, Robert L. Karp, Sergio Lukic, Rene Reinbacher
Abstract
We develop numerical methods for approximating Ricci flat metrics on Calabi-Yau hypersurfaces in projective spaces. Our approach is based on finding balanced metrics, and builds on recent theoretical work by Donaldson. We illustrate our methods in detail for a one parameter family of quintics. We also suggest several ways to extend our results.
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