Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
We give the first numerical calculation of the spectrum of the Laplacian acting on bundle-valued forms on a Calabi-Yau three-fold. Specifically, we show how to compute the approximate eigenvalues and eigenmodes of the Dolbeault Laplacian acting on bundle-valued $(p,q)$-forms on K\"ahler manifolds. We restrict our attention to line bundles over …