Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
LCP
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"
Image for the paper "Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces"

Bundled Laplacians

Algebraic geometry

Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces

Every manifold can have a vector bundle put on it, which is a vector space associated with each point, e.g., the tangent bundle. Bundles are useful in string theory as they can be used to compute particle masses, via the eigenvalues of its Laplacian. Recently, such eigenvalues have been computed numerically for tangent bundles on Calabi-Yau manifolds. Here, we provide the first numerical result for a general bundle.